Question

Can you see it? Help please

Answer 1

`f(x) = 7x`
`g(x) = √(x)`
`h(x) = x^2 + 7`

11)

`g(f(4)) = √(7 \cdot 4) = √(28) = 2√(7)`

12)

`h(g(49)) = 49 + 7 = 56`

13)

`g(f(x)) = √(7x)`

14)

`h(g(x)) = (√(x))^2 + 7 = x + 7`

15)

`(g \circ h)(x) = g(h(x)) = √(x^2 +7)`

16)

Let
`y = f^(-1)(x)` and
`f(y) = x`

`4y - 3 = x\\4y = x + 3\\y = (x + 3)/(4)\\\\f^(-1)(x) = (x + 3)/(4)`

17)

Let
`y = g^(-1)(x)` and
`g(y) = x`

`(2y + 7)/(3) = x\\ 2y + 7 = 3x\\2y = 3x - 7\\y = (3x - 7)/(2) \\\\g^(-1)(x) = (3x - 7)/(2)`