Question

Let f(x)=−5x−1, h(x)=−x+4. Find (h∘f)(2).
a) 11
b) 9
c) 7
d) 5

Answer 1

To solve for (h∘f)(2), calculate f(2) first, then apply function h to the result. The computation gives h(f(2)) = h(−11) = 15, which is not one of the options provided.

Step-by-step explanation:

The question asks for the result of the function composition (h∘f)(2), where f(x)=−5x−1 and h(x)=−x+4. To find this, we first evaluate f(2), then apply h to the result.

• Calculate f(2): f(2) = −5(2) − 1 = −10 − 1 = −11
• Next, we use this result as the input for h: h(−11) = −(−11) + 4 = 11 + 4 = 15

So, the result of (h∘f)(2) is 15, which is not one of the provided options. Therefore, there seems to be an error either in the provided options or the functions given.