Question

Find the function of g.
f:x→
`(6)/(x)`, x≠0 , gf:x→2x+3

Answer 1

Explanation:

First, let find the inverse of f(x).

`y = (6)/(x)`

`x = (6)/(y)`

`y = (6)/(x)`

Even tho it the same, plug that in g(f(x).

`2( (6)/(x) ) + 3`

`(12)/(x) + 3`

`(12 + 3x)/(x)`

So g(x)= 12+3x/x.