# Let f(x) =abs(x+1) and g(x) = 3x-2 how do you find (fog)(x)?

Dec 20, 2015

Answer: $| 3 x - 1 |$

#### Explanation:

$\left(f o g\right) \left(x\right) = f \left(g \left(x\right)\right)$

Which mean replace the g(x) into every "x" you see in the $f \left(x\right)$ function.

$f \left(g \left(x\right)\right) = f \left(3 x - 2\right) = | \left(\textcolor{red}{3 x - 2}\right) + 1 |$

$= | 3 x - 1 |$