# How do you find f(g(-6)) given f(x)=4x+3 and g(x)=x-2?

Sep 18, 2016

$- 29$

#### Explanation:

To evaluate f(g(-6)) begin by evaluating g(-6). This is done by substituting x = - 6 for x in g(x).

$\Rightarrow g \left(\textcolor{red}{- 6}\right) = \left(\textcolor{red}{- 6}\right) - 2 = - 8$

now $f \left(g \left(- 6\right)\right) = f \left(- 8\right)$

$\Rightarrow f \left(\textcolor{m a \ge n t a}{- 8}\right) = 4 \left(\textcolor{m a \ge n t a}{- 8}\right) + 3 = - 32 + 3 = - 29$