Answer to Question #140315 in Discrete Mathematics for Promise Omiponle

Question

Given that f(x)=8x^2+7 and g(x)=4x+4 are functions from R to R, find
(a) f∘g.
(b) g∘f.

Answer 1

$f(x)=8x^2+7$ $g(x)=4x+4$

a) $f\circ g=f(g(x))=8(4x+4)^2+7=128x^2+256x+135$

b) $g \circ f=g(f(x))=4(8x^2+7)+4=32x^2+32$