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Let f(x)={x−4 if x≤5kx2−24x+46 if x>5f ( x ) = \left\{ \begin{array} { c c } x - 4 & \text { if } x \leq 5 \\k x ^ { 2 } - 24 x + 46 & \text { if } x > 5\end{array} \right.

Question 17

Multiple Choice

Let
f(x) ={x−4 if x≤5kx2−24x+46 if x>5f ( x ) = \left\{ \begin{array} { c c } x - 4 & \text { if } x \leq 5 \\k x ^ { 2 } - 24 x + 46 & \text { if } x > 5\end{array} \right.
Find the value of kk that will make ff continuous on (−∞,∞) ( - \infty , \infty ) .


A) 5
B) 46
C) −4- 4
D) 3

Correct Answer:

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