Question

PLEASE HELP!!! PLATO ALGEBRA 2

Answer 1

Answer:

(gof) (4) = 9

Hence, option A is true.

Step-by-step explanation:

f(x)=-x³

g(x)=|1/8x -1|

(gof) (4) = g{f(4)}

First wee need to determine f(4)

f(4)=-(4)³

    = -64

so

  (gof) (4) = g{f(4)} = g(-64)

                             =  $\left|\frac{1}{8}\left(-64\right)-1\right|$

                             $=\left|-\frac{1}{8}\cdot \:64-1\right|$

                             $=\left|-8-1\right|$

                             $=\left|-9\right|$

$\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a$

                             $=9$        

Thus,

(gof) (4) = 9

Hence, option A is true.