Finding Inputs of Functions (Junior Cert Mathematics): Flashcards

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Finding Inputs of Functions
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Finding input of function means solving for...

xx when f(x)f(x) is known

Finding input when output is known is like...

Working backwards

To find input, set function equal to...

The given output

Why set function equal to output?

To work backwards and find what xx makes it happen

In 5x−3=125x - 3 = 12, first step to isolate xx

Add 33 to both sides

If f(x)=5x−3f(x) = 5x - 3 and f(x)=12f(x) = 12, then x=x = ?

x=3x = 3

To solve 5x=155x = 15 for xx, you...

Divide both sides by 55

How to check if your input value is correct?

Substitute xx back into original function

If f(x)=5x−3f(x) = 5x - 3, what is f(3)f(3)?

1212

After solving for xx, always...

Check by substituting back into function

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