Question

If f and g are two functions defined by f(x)=3x+5 and g(x)=x^2+1 find f^-1 (x)

Answer 1

y = 1/3(x-5)

Explanation:

To find the inverse of a function switch the x and y and then solve for y.

x = 3y + 5

x-5 = 3y

(x-5)/3 = y

Or

y = 1/3(x-5)