Question

Find functions f and g so that h(x) = (f ∘ g)(x).

h(x) = (6x - 14)^8

A. f(x) = 6x - 14, g(x) = x^8

B. f(x) = 6x^8 - 14, g(x) = -14

C. f(x) = x^8, g(x) = 6x - 14

D. f(x) = (6x)^8, g(x) = -14

Answer 1

well isn't this finding

f(g(x) so substitute g(x) into f() and you should get h(x)

you replace x in f with g(x)

so looking at the 1st choice

A. f(x^8) = 6(x^8) - 14

not what you want...

B f(-14) = 6(-14)^8 - 14

not what you want....

so its C or D

just repeat the substitution process

Answer 2

sub g(x) into f(x) for each one