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The graph of y=g(x) is shown in the following for −3≤x≤5.
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Write down the value of g(3)
Find the value of
(g∘g)(5)
(g−1∘g−1)(1)
Sketch the graph of y=g(x+1)−1 on the axes above.
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Consider the functions f(x)=x3−1 and g(x)=2−3x.
Write down the value of g−1(−7).
Let h(x)=(g∘f)(x)
Find an expression for h(x).
Find h−1(−19).
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Consider the rational function g(x)=x−cax+b where a,b,c∈Z and x=c. The graph of y=g(x) is shown in the diagram below.
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Write down
the value of a,
The value of c.
Find the value of b.
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Consider the rational function g(x)=3+2x7−4x, for x=−23.
For the graph of y=g(x) find
the coordinates of the axes intercepts,
the equations of the asymptotes.
Hence sketch the graph of y=g(x) on the axes below.
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