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f(x) = 5x - 1, find f(2)

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

Step by step

The question

Question: find f(2) for f(x) = 5x − 1.

f(x) = 5x − 1

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(2) means: put 2 in place of every x.

We write it in brackets.

f(2) = 5(2) − 1

2 Times and divide

Times comes before minus.

Order: ( ) → x² √ → × ÷ → + −
5(2) = 5 × 2

5(2) means 5 times 2.

5 times 2 is 10.

= 10 − 1

3 Plus and minus

10 minus 1 is 9.

f(2) = 9

So f(2) = 9.

Let's look back.

First: put the number in.

Then: times and divide.

Last: plus and minus.

Answer
f(2) = 9

Your turn

Try this one yourself, then check:

f(x) = 3x − 1, find f(2)
Show the answer
f(2) = 5

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