Question

F(x) = Square root of quantity x plus seven.; g(x) = 8x - 11 Find f(g(x)).

Answer 1

`f(x)=√(x+7) \\ \\ \\ g(x)=8x-11 \\ \\ \\ (fog)(x)=√((8x-11)+7) \\ \\ \\ = √(8x-4) \\ \\ \\ 2√(2x-1) \\ \\ \\ \\ \\ {GOOD \quad LUCK`

Answer 2

fog(x) =
`2√((2x - 1)`.

Explanation:

Given : f(x) = Square root of quantity x plus seven.; g(x) = 8x - 11 .

To find : Find f(g(x)).

Solution : We have given

f(x) =
`√(x+7)`, g(x) = 8x - 11 .

fog(x) =
`√(8x - 11+7)`.

fog(x) =
`√(8x - 4)`.

Taking common 4

fog(x) =
`√(4(2x - 1)`.

fog(x) =
`2√((2x - 1)`.

Therefore, fog(x) =
`2√((2x - 1)`.