Question

Which function has an inverse function?

Answer 1

Example 5: If f(x) = 2x – 5, find the inverse. This function passes the Horizontal Line Test which means it is a onetoone function that has an inverse. y = 2x – 5 Change f(x) to y. x = 2y – 5 Switch x and y. Solve for y by adding 5 to each side and then dividing each side by 2.

Answer 2

The inverse of (x+5)/5 ===>5x - 5

the inverse of x^5-3 ===>(x+3)^(1/5)

the inverse of x^4/7+27===>to solve it need to know if it's (x^4)/7 or x^(4/7)

the inverse of 1/x^2====> 1/(√x)