Question

F(x) = 2x+6, g(x) = 3² findf(g (-3))​

Answer 1

Explanation:

If F(x) = 2x+6, g(x) = 3² findf(g (-3))

Solution

f(g (-3)) = 2x+6(3²(-3)) = 2x+6(3×3(-3))

= 2x+6(-27) = 54x-162 = 54x = 162

54/54x = 162/54

x = 3

Answer 2

➩
`f(g(-3)) = 24`

Explanation:

➨ Rearrange/Simplify the equations

`F(x)=2x+6\\g(x)=9`

➨ Find
`f(g(-3))`

`g(-3)=9` ➩ All x-values have same y-values ➩ Constant Function

Substitute
`g(-3) = 9` in the f(x)

`f(g(-3)) = f(9)\\f(9)=2(9)+6\\f(9)=18+6\\f(9)=24\\f(g(-3)) = 24`

Thus, the answer ➩
`f(g(-3)) = 24`