Question

What is the value of (f o g)(10) when f(x) = -9x - 9 and g(x) = x - 9?

a) -90
b) -81
c) 81
d) 90

Answer 1

The value of (f o g)(10), given f(x) = -9x - 9 and g(x) = x - 9, is calculated to be -18 by first applying g to 10 and then applying f to that result. The provided answer options do not match this calculation.

Step-by-step explanation:

The value of (f o g)(10) is calculated by first applying g(x) to 10 and then applying the resulting value to f(x). For the given functions, where f(x) = -9x - 9 and g(x) = x - 9, we need to find the value of g(10) first:

g(10) = 10 - 9
g(10) = 1

Next, we calculate f(g(10)) or f(1):

f(1) = -9(1) - 9
f(1) = -9 - 9
f(1) = -18

Therefore, (f o g)(10) is equal to -18, which is not listed in the options provided. It seems there might have been a misunderstanding in the options or a mistake in the question as the provided options do not match the calculated result.