Question

Given the following functions, find and simplify (f. g)(5.5).

Provide your answer below:
(f-g)(5.5)=
f(x) = -x + 6
g(x) = -12x - 6

Answer 1

78

Explanation:

To compute (f.g)(5.5) , first compute g(5.5) , then use that value in f(x) to compute the composite function value

g(5.5) = -12(5.5) - 6 = -66 - 6 = -72

Use this value for x in f(x) = -x + 6

f(g(5.5)) = f(-72) = -(-72) + 6 = 72 + 6 = 78