Algebra II: f(x) & g(x)

Question

what functions f(x) and g(x) were composed to create the function h(x)=(x-5)^2+4(x-5)-7 where h(x)= f(g(x))?

a. f(x)= x-5 ; g(x)= x^2-4x+7

b. f(x)=(x-5)^2 ; g(x)= 4x-7

c. f(x)= x^2-4x+7 ; g(x)= x-5

d. f(x)= 4x-7 ; g(x)= (x-5)^2

Answer 1

As written, NONE of them are correct

The best option is C, but it is wrong because you have +4 and -7 in H(x)

but -4 and +7 in f(x) in option C.

That is, the signs are backwards