Question

Given that f(x)=2x^2 -3 and g(x) =x-1/2, find f o g

Answer 1

f o g = f(g(x)) = gx into fx.

2x^2 - 3
2(x-1/2)^2 - 3

Answer 2

\[f(g(x))=2(x-1/2)^{2}-3\]
\[=2\left( x ^{2}-x+1/4 \right)-3\]
\[=2x ^{2}-2x+1/2-3\]
\[=2x ^{2}-2x-5/2\]

@Saifoo.khan, Am i correct?

Answer 3

Yes totally @rudi19