Question

NEED HELP: ( I will solve, just need help)
If h(x) = x - 7 and g(x) = x², which expression is equivalent to (g o h)(5)?
(5 - 7)²
(5)² - 7
(5)²(5 - 7)
(5 - 7)x²

I know that (g o h)(5) = g(h(5)) and I need to find h(5)
That would be h(5) = 5 - 7
But after that I am lost.

*The answer I had down was (5 - 7)x² because I didn't think you could do anything else after the (5 - 7)

Answer 1

h(5)=5-7=-2

Answer 2

g(h(5))=g(-2)

Answer 3

g(-2)=(-2)^2=4

Answer 4

But in all of the answers, I don't see where you could get 4 from.
I understand that h(5) = 5-7 = -2 and g(-2) = -2² = 4 but I don't see how I would find that in the answers.

Answer 5

gox, or rather, g "composed of" x, is equal to: x^2

goh, or rather, g "composed of" h, is equal to: h^2

but h "composed of" x is equal to: x-7

so g(h(x)) = (x-7)^2

Answer 6

Ok I gotcha. Thank you!