Inverse Functions (Leaving Cert Mathematics): Quizzes

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Inverse Functions
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What is the inverse of the function f(x)=2x+3f(x)=2x+3?

x−32\frac{x-3}{2}

When does a function have an inverse?

When it's 1-1

What line do we reflect a function over to find its inverse?

y=xy=x line

Which function has no inverse?

f(x)=x2f(x)=x^2

What does reflecting a graph across y=xy=x do?

Swaps xx, yy

What is the main step to find inverse algebraically?

Swap xx and yy

A function's inverse must be?

One-to-one

What symbol is used for inverse of a function?

f−1f^{-1}

If f(x)=3x−2f(x)=3x-2, what is f−1(x)f^{-1}(x)?

x+23\frac{x+2}{3}

Is f(x)=x3f(x)=x^3 invertible?

Yes, always

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