Substituting an expression into a function | Additional / Further Maths | Tope Teaches Maths

Functions and graphsAdditional / Further Maths

Replace each by the entire new input expression.

Put the new input in brackets.
Expand and simplify only after every has been replaced.

Example 1

Replace by

Evaluate the function at the stated input.

Write the square as two identical factors.

Now multiply into any remaining brackets.

Example 2

Find and simplify .

Write the square as two identical factors.

Now multiply into any remaining brackets.

Your turn

Question 1

Find and simplify .

Check answer

Question 2

Find and simplify .

Check answer

Write the square as two identical factors.

Now multiply into any remaining brackets.

Question 3

Find and simplify .

Check answer

Write the square as two identical factors.

Now multiply into any remaining brackets.

Question 4

Find and simplify .

Check answer

Write the square as two identical factors.

Now multiply into any remaining brackets.

Question 5

Find and simplify .

Check answer

Write the square as two identical factors.

Now multiply into any remaining brackets.

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