Finding an inverse function Revision Card

AI generatedAlgebraGCSE Higher

Swap input and output, then rearrange.

Replace the input carefully, using brackets for negative numbers or whole expressions.
For a composite function, work from the inside out.
For an inverse, interchange input and output, then rearrange.

Example 1

Find the inverse function.

Replace

, then interchange

and

Subtract the constant from both sides.

Divide both sides by the coefficient of

Write the result using inverse-function notation.

Example 2

Find the inverse function.

Replace

, then interchange

and

Subtract the constant from both sides.

Divide both sides by the coefficient of

Write the result using inverse-function notation.

Your turn

Question 1

Find the inverse function.

Check answer

Replace

, then interchange

and

Subtract the constant from both sides.

Divide both sides by the coefficient of

Write the result using inverse-function notation.

Question 2

Find the inverse function.

Check answer

Replace

, then interchange

and

Subtract the constant from both sides.

Divide both sides by the coefficient of

Write the result using inverse-function notation.

Question 3

Find the inverse function.

Check answer

Replace

, then interchange

and

Subtract the constant from both sides.

Divide both sides by the coefficient of

Write the result using inverse-function notation.

Question 4

Find the inverse function.

Check answer

Replace

, then interchange

and

Subtract the constant from both sides.

Divide both sides by the coefficient of

Write the result using inverse-function notation.

Question 5

Find the inverse function.

Check answer

Replace

, then interchange

and

Subtract the constant from both sides.

Divide both sides by the coefficient of

Write the result using inverse-function notation.