# Hi there! I found a website that gives me different kind of problems to solve, but I am stuck on this one :) Can you help me please? Thanks!

Jun 26, 2018

C. $g \left(x\right) = 42 x$ (as indicated)

#### Explanation:

If $k \left(x\right)$ is $f \left(x\right)$ stretched by a factor of $7$
then $k \left(x\right) = 7 f \left(x\right)$.

If $j \left(x\right)$ is $k \left(x\right)$ reflected in the x-axis
then $j \left(x\right) = - k \left(x\right)$

Note that as given
$g \left(x\right) = j \left(k \left(x\right)\right) = - \left(k \left(x\right)\right) = - 7 f \left(x\right) = \left(- 7\right) \cdot \left(- 6 x\right) = 42 x$