# If 2x + 14 for -7<=x<-5, 4 for -5<=x<1 and 3/2x + 5/2 for x>=1, how do you find f(-6)?

Feb 28, 2018

2

#### Explanation:

From the question:
$f \left(x\right) = 2 x + 14$ for $- 7 \le x < - 5$
$g \left(x\right) = 4$ for $- 5 \le x < 1$
$h \left(x\right) = \frac{3}{2} x + \frac{5}{2}$ for $1 \le x$

When x=-6, only $f \left(x\right)$ is applicable.

Hence,
$f \left(- 6\right)$
$= 2 \left(- 6\right) + 14$
$= 2$