Question

Composite functions

Find F(G(X))
F=x^2 +x +3
G=x-5

Answer 1

f o g is basically just (x-5)^2+(x-5)+3.

Answer 2

So you let g(x) be your new 'x'
then input this new 'x' into f(x)

so you'll get:
let us call our new 'x' 's'
so now s=x-5

then we replace every 'x' in f(x) with our 's'
this gives us f(g(x))

so we'll get:
f(g(x)) = (x-5)^2 + (x-5) + 3

then you just simplify it :-)

Answer 3

Thanks! I actually got that. Proud of myself!

Answer 4

Good job!