Question

Can someone save me??
f(x) = x^2 - 2x and g(x) = x-4
find: h(x) = (f * g)(x)

Answer 1

(fog)(x) = f(g(x))
That means use g(x) as input into f(x)
f(x) = x^2, this is what goes into x of f(x)
(fog)(x) = f(g(x)) = f(x-4) = (x - 4)^2 - 2(x - 4)
Now simplify the right side

Answer 2

x^2 - 2x +24?

Answer 3

(fog)(x) = x^2 - 8x + 16 - 2x + 8
(fog)(x) = x^2 - 10x + 24

Answer 4

where am i missing the 8x?

Answer 5

How did you go from (x - 4)^2 - 2(x - 4)
to x^2 - 2x +24?

Answer 6

Remember that (x - 4)^2 = x^2 - 8x + 16

Answer 7

oooooo right (x-4(x-4) I get it I get it