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Solve f(x) = x^2, f(5)

Step by step, with the reason for every step · Functions · Algebra 2

Step by step

The question

Question: find f(5) for f(x) = x².

f(x) = x2

f(x) is read "f of x".

It is a rule, called a function.

A number goes in for x.

The rule gives one answer out.

f(x) = "f of x"
x goes in → an answer comes out

1 Put the number in

f(5) means: put 5 in place of every x.

Every x becomes 5.

f(5) = 52

2 Work out the power

5² means 5 times 5.

52 = 5 × 5 = 25

That is 25.

f(5) = 25

So f(5) = 25.

Let's look back.

First: put the number in.

Last: work out the power.

Answer
f(5) = 25

Your turn

Try this one yourself, then check:

f(x) = x2, find f(4)
Show the answer
f(4) = 16

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