Question

What function below is the inverse of f(x)=2x+3/5

Answer 1

Hi there!

To find the inverse, switch x and y then solve for the newly placed y.
Y=2x+3/5
X=2y+3/5
X-3/5=2y
Y=(x-0.6)/2

Hope this helps!

Answer 2

`f^(-1)(x)=(1)/(2)(x-(3)/(5))`

Explanation:

The given function is f(x) = 2x +
`(3)/(5)`

To get the inverse of this function we will rewrite it in the equation form.

f(x) = y = 2x +
`(3)/(5)`

Now we will replace x by y and y by x.

x = 2y +
`(3)/(5)`

In next step we have to find the value of y in terms of x.

2y = x -
`(3)/(5)`

y =
`(1)/(2)(x-(3)/(5))`

Now we represent y in the form of the function.

`f^(-1)(x)=(1)/(2)(x-(3)/(5))`

Therefore, inverse of function f(x) is
`f^(-1)(x)=(1)/(2)(x-(3)/(5))`