# Given g(x) = -3x +1, f(x) = x^2 +7, h(x) = 12/x, how do you find f(h(x))?

##### 1 Answer
Mar 7, 2018

See a solution process below:

#### Explanation:

Because $h \left(x\right) = \frac{12}{x}$ we can substitute $\textcolor{red}{\frac{12}{x}}$ for each occurrence of $\textcolor{red}{x}$ in $f \left(x\right)$

$f \left(x\right) = {\textcolor{red}{x}}^{2} + 7$ becomes:

$f \left(h \left(x\right)\right) = {\textcolor{red}{\left(\frac{12}{x}\right)}}^{2} + 7$

$f \left(h \left(x\right)\right) = \textcolor{red}{\frac{144}{x} ^ 2} + 7$