Question

Use functions f(x)=-32x+11, g(x)=x²-7x, and h(x) = |15-9x| to evaluate each function. What is h(5)+g(9)?

Answer 1

After evaluating h(5) as 30 and g(9) as 18, we find that h(5) + g(9) equals 48.

Step-by-step explanation:

The question requires us to evaluate two functions at specific points and then add those values together. We're given function h(x) = |15 - 9x| and function g(x) = x² - 7x. To find h(5), we substitute x with 5 in the function h(x), and similarly, to find g(9), we substitute x with 9 in the function g(x).

First, let's calculate h(5):
h(5) = |15 - 9(5)| = |15 - 45| = |-30| = 30

Now, let's calculate g(9):
g(9) = (9)² - 7(9) = 81 - 63 = 18

Now we can add the two values together:
h(5) + g(9) = 30 + 18 = 48

Therefore, h(5) + g(9) equals 48.