AI generatedAlgebraGCSE Higher

Solving an equation in function notation

Find an input from a given output.

  • State the equation before solving it.
  • Follow the operation labels between lines. Apply the same operation to both sides.
  • Substitute the answer into the original equation to check that both sides agree.

Example 1

Given , solve .

Replace with its definition.

Example 2

Given , solve .

Replace with its definition.

Your turn

Question 1

Given , solve .

Check answer
Replace with its definition.
Question 2

Given , solve .

Check answer
Replace with its definition.
Question 3

Given , solve .

Check answer
Replace with its definition.
Question 4

Given , solve .

Check answer
Replace with its definition.
Question 5

Given , solve .

Check answer
Replace with its definition.
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