AI generatedAlgebraGCSE Higher

Finding a composite function

Apply the inside function first.

  • 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 .

Work inside out: insert the whole expression into .Expand and collect like terms.

Example 2

Find .

Work inside out: insert the whole expression into .Expand and collect like terms.

Your turn

Question 1

Find .

Check answer
Work inside out: insert the whole expression into .Expand and collect like terms.
Question 2

Find .

Check answer
Work inside out: insert the whole expression into .Expand and collect like terms.
Question 3

Find .

Check answer
Work inside out: insert the whole expression into .Expand and collect like terms.
Question 4

Find .

Check answer
Work inside out: insert the whole expression into .Expand and collect like terms.
Question 5

Find .

Check answer
Work inside out: insert the whole expression into .Expand and collect like terms.
← All Algebra cardsReport a mistake