Question

Write the equation of the function g(x) if g(x) = f(x – 2) +4 and f(x) = x^3 + 2.

Answer 1

f(x) = x^3 + 2

f(x) = (x)^3 + 2

f(x-2) = (x-2)^3 + 2 ... replace every x with x-2

f(x-2) = ???

Answer 2

Would you add the 4 along with the (x-2)^3 + 2?

f(x-2) = (x-2)^3 + 6?

@jim_thompson5910

Answer 3

it should be f(x-2)+4 = (x-2)^3 + 6, GRoa1, but you have the right idea

Answer 4

optionally you expand out (x-2)^3 and then combine like terms to simplify

Answer 5

Thank you :)

Answer 6

Mmmm, I am confused now. How do you get g(x) from
f(x-2) = X^3 - 6x^2 + 12x -2

Answer 7

@jim_thompson5910

Answer 8

because at the top it says that g(x) = f(x – 2) +4