Functions and Equations Quiz

Make sure to try these on a piece of paper first

Question #2-1 Paper 1 Difficulty: Medium

Let $latex f(x)=x^{3}+5$, and $latex g(x)=3x$.

a) Find $latex g(f(-1))$.

b) Find $latex f^{-1}(x)$.

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Question #2-2 Paper 2 Difficulty: Medium

Let $latex f(x)=x^{2}+2$, and $latex g(x)=x+1$.

a) Find $latex f(g(x))$.

b) The vector $latex \begin{pmatrix} 2\\ 1 \end{pmatrix}$ translates the graph of $latex f(g(x))$ to the graph of $latex h(x)$. Find the coordinates of the vertex of $latex h(x)$.

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Question #2-3 Paper 1 Difficulty: Medium

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Question #2-4 Paper 2 Difficulty: Medium

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Question #2-5 Paper 2 Difficulty: Medium

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Question #2-6 Paper 1 Difficulty: Easy

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Question #2-7 Paper 1 Difficulty: Easy

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Question #2-8 Paper 2 Difficulty: Medium

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Question #2-9 Paper 1 Difficulty: Easy

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Question #2-10 Paper 1 Difficulty: Easy

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