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Find the Inverse of the Given Function and Express It y=f−1(x)y = f ^ { - 1 } ( x )

Question 50

Multiple Choice

Find the inverse of the given function and express it in the form y=f−1(x) y = f ^ { - 1 } ( x ) . Verify the result by showing that (f∘f−1) (x) =(f−1∘f) (x) =I(x) \left( f \circ f ^ { - 1 } \right) ( x ) = \left( f ^ { - 1 } \circ f \right) ( x ) = I ( x ) . f(x) =2x+105f ( x ) = \frac { 2 x + 10 } { 5 }


A) f−1(x) =5x−2f ^ { - 1 } ( x ) = 5 x - 2
B) f−1(x) =52x−5f ^ { - 1 } ( x ) = \frac { 5 } { 2 } x - 5
C) f−1(x) =25x+2f ^ { - 1 } ( x ) = \frac { 2 } { 5 } x + 2
D) f−1(x) =52x+5f ^ { - 1 } ( x ) = \frac { 5 } { 2 } x + 5
E) f−1(x) =2x+5f ^ { - 1 } ( x ) = 2 x + 5

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