Question

Can someone help me find the inverse of the function f(x)=2x+1/2

Answer 1

Step 1:

The function is .

The function is a linear function with positive slope,hence it is one-to-one function.

Therefore, the inverse of the function exist.

Find the inverse of the function.

Consider and solve in terms of .

Now interchange and .

Replace .

The inverse of is .

Solution:

The inverse of is .