Question

What is the inverse of g?
g(x) = 3/x+7

Answer 1

Given function :-

`\bf \implies g(x) = (3)/(x)+7`

• To find its reverse , substitute y = g(x) .

`\bf \implies y = (3)/(x)+7`

• Interchange x and y .

`\bf \implies x = (3)/(y)+7`

• Solve for y .

`\bf\implies (3)/(y)= x -7 \\\\\bf\implies y =(3)/(x-7)`

• Replace y with f-¹(x) .

`\implies\boxed{\red{\bf f^(-1)(x) = (3)/(x-7) }}`