Question

PLEASE HELP!!! PLATO ALGEBRA 2

Answer 1

(gof) (4) = 9

Hence, option A is true.

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|(1)/(8)\left(-64\right)-1\right|`

`=\left|-(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.