Question

Let f(x) = -5x - 1 and g(x) = x^2 + 4. Find (f ∘ g)(-5).

a) (f ∘ g)(-5) = -104
b) (f ∘ g)(-5) = 26
c) (f ∘ g)(-5) = -29
d) (f ∘ g)(-5) = 29

Answer 1

The composition of the functions (f ∘ g)(-5) results in -146, which is not an option provided, suggesting there may be an error in the question or options.

Step-by-step explanation:

To find (f ∘ g)(-5), we need to compute the function g at -5 and then apply the function f to the result. First, let's evaluate g at x = -5:

g(-5) = (-5)^2 + 4 = 25 + 4 = 29.

Now, we apply f to this result:

f(g(-5)) = f(29) = -5(29) - 1 = -145 - 1 = -146.

Therefore, (f ∘ g)(-5) is -146, which is not listed in the provided options. It seems there might be an error in the question or the provided options.