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Magazine Problem 1
In the following exercises, find (a) \((f \circ g)(x)\), (b) \((g \circ f)(x),\) and (c) \((f \cdot g)(x)\) $$ f(x)=4 x+3 \text { and } g(x)=2 x+5 $$
Problem 2
In the following exercises, find (a) \((f \circ g)(x)\), (b) \((g \circ f)(x),\) and (c) \((f \cdot g)(x)\) $$ f(x)=3 x-1 \text { and } g(x)=5 x-3 $$
Problem 3
In the following exercises, find (a) \((f \circ g)(x)\), (b) \((g \circ f)(x),\) and (c) \((f \cdot g)(x)\) $$ f(x)=6 x-5 \text { and } g(x)=4 x+1 $$
Problem 4
In the following exercises, find (a) \((f \circ g)(x)\), (b) \((g \circ f)(x),\) and (c) \((f \cdot g)(x)\) $$ f(x)=2 x+7 \text { and } g(x)=3 x-4 $$
Problem 5
In the following exercises, find (a) \((f \circ g)(x)\), (b) \((g \circ f)(x),\) and (c) \((f \cdot g)(x)\) \(f(x)=3 x\) and \(g(x)=2 x^{2}-3 x\)
Problem 7
In the following exercises, find (a) \((f \circ g)(x)\), (b) \((g \circ f)(x),\) and (c) \((f \cdot g)(x)\) \(f(x)=2 x-1\) and \(g(x)=x^{2}+2\)
Problem 8
In the following exercises, find (a) \((f \circ g)(x)\), (b) \((g \circ f)(x),\) and (c) \((f \cdot g)(x)\) \(f(x)=4 x+3\) and \(g(x)=x^{2}-4\)
Problem 9
In the following exercises, find the values described. For functions \(f(x)=2 x^{2}+3\) and \(g(x)=5 x-1\), find (a) \((f \circ g)(-2)\) (b) \((g \circ f)(-3)\) (c) \((f \circ f)(-1)\)
Problem 10
In the following exercises, find the values described. For functions \(f(x)=5 x^{2}-1\) and \(g(x)=4 x-1\), find (a) \((f \circ g)(1)\) (b) \((g \circ f)(-1)\) (c) \((f \circ f)(2)\)
Problem 11
In the following exercises, find the values described. For functions \(f(x)=2 x^{3}\) and \(g(x)=3 x^{2}+2\), find (a) \((f \circ g)(-1)\) (b) \((g \circ f)(1)\) (c) \((g \circ g)(1)\)
