Question

F(x)=7x-2 g(x)=x2+1 h(x)=3x (x at the corner of 3 ) a- find gh(2) b- find f-1(x)

Answer 1

Answer: 37,
`(x+2)/(7)`

Explanation:

Given

`f(x)=7x-2\\g(x)=x^2+1\\h(x)=3x`

now,

`g(h(x))=(3x)^2+1\\g(h(x))=9x^2+1`

for x=2

`g(h(2))=9\cdot (2)^2+1\\g(h(2))=36+1\\g(h(2))=37`

Inverse of
`f(x)` is given by

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