The function is defined as g(x)=2x^2-6x Find g(x-4)

Question

Write answer without parentheses, and simplify it as much as possible.

g(x-4)=

 

Much appreciative

Answer 1

Hi Germ,

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

Substitute x by (x - 4) to find g(x - 4).

g(x - 4) = 2(x - 4)^2 - 6(x - 4)

= 2(x^2 - 8x + 16) - 6x + 24

= 2x^2 - 16x + 32 - 6x + 24

= 2x^2 - 22x + 56