Answer:
The following table lists the value of functions ggg and hhh, and of their derivatives, g'g
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g, prime and h'h
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h, prime, for x=3x=3x, equals, 3.
xxx g(x)g(x)g, left parenthesis, x, right parenthesis h(x)h(x)h, left parenthesis, x, right parenthesis g'(x)g
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(x)g, prime, left parenthesis, x, right parenthesis h'(x)h
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(x)h, prime, left parenthesis, x, right parenthesis
333 ~~9 9space, space, 9 ~~~0 0space, space, space, 0 -15−15minus, 15 ~~~6 6space, space, space, 6
Let function GGG be defined as G(x)=2g(x)-h(x)+8G(x)=2g(x)−h(x)+8G, left parenthesis, x, right parenthesis, equals, 2, g, left parenthesis, x, right parenthesis, minus, h, left parenthesis, x, right parenthesis, plus, 8.
G'(3)=G
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(3)=G, prime, left parenthesis, 3, right parenthesis, equals
Step-by-step explanation: