Question

If f(x) x^2 — 5 + 3 and g(x) = 1 — 2x, find f(g(x).

Answer 1

4x^2+6x-1

Explanation:

the question asks for f(g(x)). this means you have to plug in the value of g(x) into the "x" of f(x). (you should always work inside out.)

if you do that, you get this equation : (-2x+1)^2-5(-2x+1)+3 (i changed the 1-2x into -2x+1) because you plug in the g(x) (in this case, -2x+1) into the x's in the f(x) equation.

first you foil the (-2x+1)^2 and get 4x^2-4x+1.

then you distribute -5(-2x+1) and get +10x-5

and you bring down the 3.

so you have 4x^2-4x+1+10x-5+3 and you combine your like terms and get

4x^2+6x-1

which is your answer!

Answer 2

f(g(x))= 1-2(x^2-5+3)

Explanation:

To do this you would plug in x^2-5+3 into the x for the g(x) so you would get f(g(x))= 1-2(x^2-5+3)