Finding Inputs of Functions (Junior Cert Mathematics): Quizzes

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Finding Inputs of Functions
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What does finding the input of a function mean?

Solving for xx when we know f(x)f(x)

What is the example function used in the note?

f(x)=5x−3f(x) = 5x - 3

In the example, what is the given output value of f(x)f(x)?

1212

What is the first step when finding the input?

Look at the function and given output

In Step 2, what should you do?

Set the function equal to the output

What equation is set up for the example f(x)=5x−3f(x) = 5x - 3 when f(x)=12f(x) = 12?

5x−3=125x - 3 = 12

What is the first operation to isolate xx in 5x−3=125x - 3 = 12?

Add 33 to both sides

After adding 33 to both sides of 5x−3=125x - 3 = 12, what do you get?

5x=155x = 15

What is the final answer for xx in the example?

x=3x = 3

How do you check your answer is correct?

Substitute xx back into the function

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