Question

If g(x)=x+1 and h(x)=4–x, what is the value of g∘h(−3)?

a) -2
b) -4
c) 0
d) 2

Answer 1

To find the value of g∘h(−3), the function h is first applied to -3, followed by applying function g to the result. The computation yields g(h(−3)) = g(7) = 8, which is not listed in the given options.

Step-by-step explanation:

The student is asking to find the value of the composition of two functions, g(x) = x + 1 and h(x) = 4 - x, specifically g∘h(−3). To find this, we first need to calculate the value of h at x = -3, which gives us h(−3) = 4 - (-3) = 7. Then we apply the function g to this result: g(h(−3)) = g(7) = 7 + 1 = 8. Therefore, the correct answer is 8, which was not listed among the options provided.