Find the Inverse Function f(x)=-2x+10

Math
Replace with .
Interchange the variables.
Solve for .
Tap for more steps…
Rewrite the equation as .
Subtract from both sides of the equation.
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Simplify each term.
Tap for more steps…
Move the negative in front of the fraction.
Divide by .
Solve for and replace with .
Tap for more steps…
Replace the with to show the final answer.
Set up the composite result function.
Evaluate by substituting in the value of into .
Simplify each term.
Tap for more steps…
Cancel the common factor of and .
Tap for more steps…
Factor out of .
Factor out of .
Factor out of .
Cancel the common factors.
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Apply the distributive property.
Multiply .
Tap for more steps…
Multiply by .
Multiply by .
Multiply by .
Combine the opposite terms in .
Tap for more steps…
Add and .
Add and .
Since , is the inverse of .
Find the Inverse Function f(x)=-2x+10

Do you need help with math?

Try our mobile app

Our app allows students to get instant step-by-step solutions to all kinds of math troubles.

Our MATH EXPERTS

JackHudson

Charlie Trom

Lucy Evel

Scroll to top