Question 1

Find two numbers whose sum is 48 and whose product is a maximum.

Accepted Answer

A)  24 and 24 
B)  6 and 30 
C)  36 and 12 
A)  24 and 24 
B)  6 and 30 
C)  36 and 12

Question 2

If V varies jointly as B and h , and V = 30 when B = 9 and h = 10, find V when B = 16 and h = 18.

Accepted Answer

The answer of If V varies jointly as B and...

Question 3

If f ( x ) = |9 x $-$ 5| and g ( x ) = x 3 , find $( g \circ f ) ( 1 )$ .

Accepted Answer

A)  64 
B)  4 
C)  $-$ 64 
D)  $-$ 4 
A)  64 
B)  4 
C)  $-$ 64 
D)  $-$ 4

Question 4

Determine $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 3 } { 4 x } \text { and } g ( x ) = \frac { 1 } { x + 3 }$ .

Accepted Answer

The answer of Determine \(( g \circ f ) (...

Question 5

Specify the domain for the function. $f ( x ) = \sqrt { x ^ { 2 } - 4 }$

Accepted Answer

A)  $D = [ 2 , \infty )$ 
B)  $D = ( - \infty , - 2 ] \cup [ 2 , \infty )$ 
C)  $D = [ - 2,2 ]$ 
D)  $D = ( - \infty , - 2 ) \cup ( 2 , \infty )$ 
A)  $D = [ 2 , \infty )$ 
B)  $D = ( - \infty , - 2 ] \cup [ 2 , \infty )$ 
C)  $D = [ - 2,2 ]$ 
D)  $D = ( - \infty , - 2 ) \cup ( 2 , \infty )$

Question 6

Specify the domain of $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 5 } { x } \text { and } g ( x ) = 4 x - 8$ . Please enter your answer in interval notation.

Accepted Answer

The answer of Specify the domain of \(( g \circ...

Question 7

Specify the domain for the function. Please enter your answer in interval notation. f ( x ) = 4 x $-$ 9

Accepted Answer

The answer of Specify the domain for the function. Please...

Question 8

If f ( x ) = |9 x $-$ 5| and g ( x ) = x 3 , find $( f \circ g ) ( 1 ) \text { and } ( g \circ f ) ( 1 )$ . Match each expression with the corresponding answer.
-$64$

Accepted Answer

A)  $( f \circ g ) ( 1 )$ 
B)  $( g \circ f ) ( 1 )$ 
A)  $( f \circ g ) ( 1 )$ 
B)  $( g \circ f ) ( 1 )$

Question 9

If y is directly proportional to x , and y = 14 when x = 56, find the value of y when x = 40.

Accepted Answer

The answer of If y is directly proportional to x...

Question 10

Find the vertex of $f ( x ) = 5 x ^ { 2 } - 7 x + 2$ .

Accepted Answer

The answer of Find the vertex of \(f ( x...

Question 11

Graph the function. $f ( x ) = \frac { 1 } { 6 } | x |$

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Question 12

Specify the domain of $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 5 } { x } \text { and } g ( x ) = 7 x - 5$

Accepted Answer

A)  $( - \infty , 0 ) \cup ( 0 , \infty )$ 
B)  $( 0 , \infty )$ 
C)  $( - \infty , 0 )$ 
D)  $( - \infty , \infty )$ 
A)  $( - \infty , 0 ) \cup ( 0 , \infty )$ 
B)  $( 0 , \infty )$ 
C)  $( - \infty , 0 )$ 
D)  $( - \infty , \infty )$

Question 13

Graph the function. $f ( x ) = - | x + 4 |$

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Question 14

Determine $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \sqrt { x + 8 } \text { and } g ( x ) = 9 x + 4$

Accepted Answer

A)  $9 \sqrt { x + 8 } + 4$ 
B)  $\sqrt { x + 8 }$ 
C)  $9 ( x + 8 ) ^ { 2 } + 4$ 
D)  $9 \sqrt { x - 8 } - 4$ 
A)  $9 \sqrt { x + 8 } + 4$ 
B)  $\sqrt { x + 8 }$ 
C)  $9 ( x + 8 ) ^ { 2 } + 4$ 
D)  $9 \sqrt { x - 8 } - 4$

Question 15

Specify the range for the following relation. Please enter your answer as the numbers, separated by commas. {(2, 3), (9, 6), (12, 11), (16, 15)}

Accepted Answer

The answer of Specify the range for the following relation....

Find two numbers whose sum is 48 and whose product is a maximum.

If V varies jointly as B and h , and V = 30 when B = 9 and h = 10, find V when B = 16 and h = 18.

If f ( x ) = |9 x $-$ 5| and g ( x ) = x 3 , find $( g \circ f ) ( 1 )$ .

Determine $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 3 } { 4 x } \text { and } g ( x ) = \frac { 1 } { x + 3 }$ .

Specify the domain for the function. $f ( x ) = \sqrt { x ^ { 2 } - 4 }$

Specify the domain of $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 5 } { x } \text { and } g ( x ) = 4 x - 8$ . Please enter your answer in interval notation.

Specify the domain for the function. Please enter your answer in interval notation. f ( x ) = 4 x $-$ 9

If f ( x ) = |9 x $-$ 5| and g ( x ) = x 3 , find $( f \circ g ) ( 1 ) \text { and } ( g \circ f ) ( 1 )$ . Match each expression with the corresponding answer. - $64$

If y is directly proportional to x , and y = 14 when x = 56, find the value of y when x = 40.

Find the vertex of $f ( x ) = 5 x ^ { 2 } - 7 x + 2$ .

Graph the function. $f ( x ) = \frac { 1 } { 6 } | x |$

Specify the domain of $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 5 } { x } \text { and } g ( x ) = 7 x - 5$

Graph the function. $f ( x ) = - | x + 4 |$

Determine $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \sqrt { x + 8 } \text { and } g ( x ) = 9 x + 4$

Specify the range for the following relation. Please enter your answer as the numbers, separated by commas. {(2, 3), (9, 6), (12, 11), (16, 15)}

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 13: Functions

Find two numbers whose sum is 48 and whose product is a maximum.

If V varies jointly as B and h , and V = 30 when B = 9 and h = 10, find V when B = 16 and h = 18.

If f ( x ) = |9 x −-− 5| and g ( x ) = x 3 , find (g∘f)(1)( g \circ f ) ( 1 )(g∘f)(1) .

Determine (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) for the pair of functions f(x)=34x and g(x)=1x+3f ( x ) = \frac { 3 } { 4 x } \text { and } g ( x ) = \frac { 1 } { x + 3 }f(x)=4x3​ and g(x)=x+31​ .

Specify the domain for the function. f(x)=x2−4f ( x ) = \sqrt { x ^ { 2 } - 4 }f(x)=x2−4​

Specify the domain of (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) for the pair of functions f(x)=5x and g(x)=4x−8f ( x ) = \frac { 5 } { x } \text { and } g ( x ) = 4 x - 8f(x)=x5​ and g(x)=4x−8 . Please enter your answer in interval notation.

Specify the domain for the function. Please enter your answer in interval notation. f ( x ) = 4 x −-− 9

If f ( x ) = |9 x −-− 5| and g ( x ) = x 3 , find (f∘g)(1) and (g∘f)(1)( f \circ g ) ( 1 ) \text { and } ( g \circ f ) ( 1 )(f∘g)(1) and (g∘f)(1) . Match each expression with the corresponding answer. - 646464

If y is directly proportional to x , and y = 14 when x = 56, find the value of y when x = 40.

Find the vertex of f(x)=5x2−7x+2f ( x ) = 5 x ^ { 2 } - 7 x + 2f(x)=5x2−7x+2 .

Graph the function. f(x)=16∣x∣f ( x ) = \frac { 1 } { 6 } | x |f(x)=61​∣x∣

Specify the domain of (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) for the pair of functions f(x)=5x and g(x)=7x−5f ( x ) = \frac { 5 } { x } \text { and } g ( x ) = 7 x - 5f(x)=x5​ and g(x)=7x−5

Graph the function. f(x)=−∣x+4∣f ( x ) = - | x + 4 |f(x)=−∣x+4∣

Determine (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) for the pair of functions f(x)=x+8 and g(x)=9x+4f ( x ) = \sqrt { x + 8 } \text { and } g ( x ) = 9 x + 4f(x)=x+8​ and g(x)=9x+4

Specify the range for the following relation. Please enter your answer as the numbers, separated by commas. {(2, 3), (9, 6), (12, 11), (16, 15)}

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

If f ( x ) = |9 x $-$ 5| and g ( x ) = x 3 , find $( g \circ f ) ( 1 )$ .

Determine $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 3 } { 4 x } \text { and } g ( x ) = \frac { 1 } { x + 3 }$ .

Specify the domain for the function. $f ( x ) = \sqrt { x ^ { 2 } - 4 }$

Specify the domain of $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 5 } { x } \text { and } g ( x ) = 4 x - 8$ . Please enter your answer in interval notation.

Specify the domain for the function. Please enter your answer in interval notation. f ( x ) = 4 x $-$ 9

If f ( x ) = |9 x $-$ 5| and g ( x ) = x 3 , find $( f \circ g ) ( 1 ) \text { and } ( g \circ f ) ( 1 )$ . Match each expression with the corresponding answer. - $64$

Find the vertex of $f ( x ) = 5 x ^ { 2 } - 7 x + 2$ .

Graph the function. $f ( x ) = \frac { 1 } { 6 } | x |$

Specify the domain of $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 5 } { x } \text { and } g ( x ) = 7 x - 5$

Graph the function. $f ( x ) = - | x + 4 |$

Determine $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \sqrt { x + 8 } \text { and } g ( x ) = 9 x + 4$