Question

The equation g(x) =x^2+4x-7 is a transformation of the function f(x) such that g(x) = f(x+5). Find the orignial function f(x)

Answer 1

f(x) = g(x-5) = (x-5)^2 + 4(x-5) - 7
you can expand that out if you want.

Answer 2

how do i do this question?

Answer 3

x = (x-5)+5
so, if g(x) = f(x+5),
g(x-5) = f(x-5 + 5) = f(x)