Question

Given f(x) = 2x2 + 3and g(x) = 4x - 5, thecomposition f(g(x)) is equal to 32x2 – 80x + 53.Now find an expression for gfx)).gfx)) =12.+

Answer 1

Ok, we need to make the composition of g(f(x))

So, let's do it:

$g(f(x))=4(2x^2+3)-5$

Working we get:

$=8x^2+12-5$$=8x^2+7$