Functions (AQA GCSE Maths): Quizzes

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Functions
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What is a function?

A relationship with input, rule, output

Which notation is equivalent to f(x)=5x+2f(x) = 5x + 2?

f:x5x+2f: x → 5x + 2

If f(x)=x2x+7f(x) = x^2 - x + 7, what is f(3)f(3)?

1313

If f(x)=x2x+7f(x) = x^2 - x + 7, what is f(2)f(-2)?

1313

What does fg(x)fg(x) mean?

Apply gg first, then apply ff

Is fg(x)fg(x) the same as gf(x)gf(x)?

No, fg(x)fg(x) is generally not the same

If f(x)=2x10f(x) = 2x - 10 and g(x) = - rac{x}{2}, what is fg(x)fg(x)?

x10-x - 10

What is the first step to find an inverse function f1(x)f^{-1}(x)?

Write x=f(y)x = f(y)

What does an inverse function do?

Reverses the original function

If f(9)=7f(9) = 7, what should f1(7)f^{-1}(7) equal?

99

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