Question

If f(x)=2x+1 and G(x) x-1/2 then f(g(x))

Answer 1

is g(x) the function

\[\large g(x) = x - \frac{1}{2}\]

OR

is g(x) the function

\[\large g(x) = \frac{x-1}{2}\]

Answer 2

The second one

Answer 3

First you start off with f(x)

\[\large f(x)=2x+1\]

then you replace each copy of x with g(x) like so

\[\large f(g(x))=2(g(x))+1\]

Afterwards, you replace g(x) on the right side with (x-1)/2 like this

\[\large f(g(x))=2\left(\frac{x-1}{2}\right)+1\]

The '2's will cancel leaving you with

\[\large f(g(x))=x-1+1\]

and then you simplify to get this final answer

\[\large f(g(x))=x\]

Answer 4

Hopefully all that makes sense