# How do you find g(f(x)) given f(x)=4x+3 and g(x)=x-2?

Feb 16, 2017

See the entire solution process below:

#### Explanation:

To find $g \left(f \left(x\right)\right)$ you must substitute $\textcolor{red}{f \left(x\right)}$ or $\textcolor{red}{4 x + 3}$ for each occurrence of $\textcolor{red}{x}$ in $g \left(x\right)$.

$g \left(\textcolor{red}{x}\right) = \textcolor{red}{x} - 2$ becomes:

$g \left(\textcolor{red}{f \left(x\right)}\right) = \textcolor{red}{\left(4 x + 3\right)} - 2$

$g \left(\textcolor{red}{f \left(x\right)}\right) = \textcolor{red}{4 x} + \textcolor{red}{3} - 2$

$g \left(\textcolor{red}{f \left(x\right)}\right) = 4 x + 1$