Question

If f(x) = -8x - 4 and g(x)

which statement is true?
7x + 3,
Click on the correct answer.
9 is not in the domain of fºg.
9 is in the domain of fºg.

Answer 1

9 is in the domain of f(g(x))

Explanation:

f(g(x)) = -8*g(x) - 4

= -8*( 7x+3) - 4

= -56x - 24 - 4

= -56x - 28

= -28(2x + 1)

f(g(9)) = -28(2*9 + 1)

= -28*19

= -532

Since 9 can be plugged into the compound function, it is in the domain.