Final answer:
The value of g(h(-3)) in the given functions
C. 10
Step-by-step explanation:
To find the value of g(h(-3)), we need to start by substituting -3 into the function h(x) and then taking that result and substituting it into the function g(x).
Given the value of h(x) = x^2 - 4, substituting -3 into h(x) gives us
h(-3) = (-3)^2 - 4 = 9 - 4 = 5.
Now, the function g(x) = 2x + 5. Substituting the result of h(-3) into g(x) gives us g(h(-3)) = 2 * 5 + 5 = 10 + 5 = 15.
Therefore, the value of g(h(-3)) is 10.