Question

Find the inverse equations for f and g.f(x)=3x+5g(x)=x2−6Explain your process. Then write about the relationship between the functions and their inverses. Does the domain and range of all functions and inverses follow a pattern?View keyboard shortcuts

Answer 1

`g = (x)/(5) - (6)/(5x) - (3)/(5)`

Explanation:

`3 + 5g = \frac{ {x}^(2) - 6 }{x} \\ 5g = x - (6)/(x) - 3 \\ g = x - ( (6)/(x) - 3)/(5) \\ g = (x)/(5) - ( (6)/(x) )/(5) - (3)/(5)`