Determine g(x−1) g ( x − 1 ) for the following function. g(x)=x2−6x

Question

I need to find the function for g(x-1)

Answer 1

g(x-1) = (x-1)^2 - 6(x-1)

= x^2 -2x +1 -6x +6

= x^2 -8x +7

Answer 2

Substitute (x-1) in for x in the function.

So (x-1)^2 -6(x-1)

then expand: x^2 -2x +1 -6x +6

Combine like terms x^2 -8x +7

Answer 3

g(x - 1) = (x - 1)² - 6(x - 1)