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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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The graph of y=g(x), for −3≤x≤3, is shown in the following diagram.
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Write down the value of
g(−2)
g−1(2)
g∘g(0)
Sketch the graph of y=−g(−x) on the graph above.
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The functions f, g and h are defined by f(x)=1−x, g(x)=3x+2, and h(x)=g∘f(x).
Find an expression for h(x).
Find h−1(x).
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