Question

What is the inverse of function f? f⁡(x) = 109⁢x + 11 A. f−1⁡(x) = 910⁢x + 11 B. f−1⁡(x) = 10⁢x − 1109 C. f−1⁡(x) = 9⁢x − 9910 D. f−1⁡(x) = 9⁢x + 1110

Answer 1

f^-1(x)=(9x-99)/10

option c is correct.

Explanation:

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables:

y=10x/9+11 becomes x=10y/9+11.

Now, solve the equation x=10y/9+11 for y.

y=9(x−11)/10