Question

Given ƒ(x) = 7x + 1 and g(x) = x2, find (g ○ ƒ)(x).

Answer 1

\[f\circ g(x)=f(g(x))\] always work from the inside out, it is easiest

Answer 2

\[g\circ f(x)=g(f(x))=g(7x+1)\] is a start

Answer 3

then since
\[g(\heartsuit)=\heartsuit^2\] you have
\[g(7x+1)=(7x+1)^2\]

Answer 4

you can square if you like, just make sure to do it careully

Answer 5

\[(7x+1)^2=(7x+1)(7x+1)\] etc