Inverse Function Calculator

The way to use Inverse of function Calculator?

The calculator determines the inverse of entered feature with these steps:

input to go into:

• To begin with, input a feature f (x)
• Hit the “Calculate” button

Output You Get

• Accurate opposite fee of the unique feature
• Complete steps that help you understand the problem higher

A manner to locate Inverse capabilities?

Compute the inverse feature (f-1) of the given feature by using the subsequent steps:

• First, take a feature f(y) having y as the variable
• Now, keep in mind that x is the feature for f(y)
• Then contrary the variables y and x, then the ensuing function may be x
• treatment the equation y for x and discover the price of x

To make it on hand for you, the characteristic inverse calculator does most of those calculations for you in a fraction of a 2nd.

Example:

Calculate the inverse of the function \( x = \frac{2y + 7}{5y + 3} \).

Solution:

Replace the variables \( y \) and \( x \) to find the inverse function \( f^{-1}(x) \):

$$ y = \frac{2x + 7}{5x + 3} $$

Multiply both sides by \( (5x + 3) \):

$$ y (5x + 3) = 2x + 7 $$

Expand the equation:

$$ 5xy + 3y = 2x + 7 $$

Rearrange terms to isolate \( x \):

$$ 5xy - 2x = 7 - 3y $$

Factor \( x \) on the left-hand side:

$$ x (5y - 2) = 7 - 3y $$

Solve for \( x \):

$$ x = \frac{7 - 3y}{5y - 2} $$

Final Answer: The inverse function of \( x = \frac{2y + 7}{5y + 3} \) is \( f^{-1}(x) = \frac{7 - 3y}{5y - 2} \).

you can moreover verify the consequences the usage of a reliable inverse feature calculator.