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ScotlandMathsQuick questions

Expressions and Functions

Quick questions on Functions and graphs: composite, inverse and transformations - SQA Higher Maths

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?
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Given f(x)=x−3f(x) = x - 3 and g(x)=4xg(x) = 4x, find g(f(x))g(f(x)). [2 marks]
What is q2?
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Describe the transformation that maps y=f(x)y = f(x) onto y=f(x−2)+5y = f(x - 2) + 5. [2 marks]
What is q3?
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Given f(x)=1x−1f(x) = \dfrac{1}{x - 1}, state the value excluded from the domain and find f−1(x)f^{-1}(x). [3 marks]

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