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Mnenie [13.5K]
3 years ago
10

Solve the literal equation for y; cy 3=6d-2y

Mathematics
1 answer:
mezya [45]3 years ago
7 0
Hello there.

<span>cy 3=6d-2y


</span><span><span><span>6d</span>−<span>2y/</span></span><span>y<span>3</span></span></span>
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\\(i)\\&#10;\text{We know that the average rate of change of a function f(x) on inerval [a,b] is}\\&#10;\\&#10;f_{avg}=\frac{f(b)-f(a)}{b-a}\\&#10;\\&#10;\text{so using this the average rate of chang of g for x on interval }[3,7] \text{ is}\\&#10;\\&#10;g_{avg}=\frac{g(7)-g(3)}{7-3}\\&#10;\\&#10;=\frac{4-1}{4}\\&#10;\\&#10;=\frac{3}{4}\\&#10;\\&#10;\text{so average rate of change of g on interval [3,7] is }\frac{3}{4}

\\(ii)\\  \text{Average rate of chang of f for x on interval }[3,7] \text{ is}\\&#10;\\&#10;f_{avg}=\frac{f(7)-f(3)}{7-3}\\&#10;\\&#10;=\frac{0-5}{4}\\&#10;\\&#10;=\frac{-5}{4}\\&#10;\\&#10;\text{so average rate of change of g on interval [3,7] is }\frac{-5}{4}

\\(iii)\\&#10;\text{Since g(4)=5, so we have}\\&#10;\\&#10;f(g(4))=f(5)\\&#10;\\&#10;\text{since the value of f is 1 at x=5. so }\\&#10;\\&#10;f(g(4))=f(5)=1\\&#10;\\&#10;\text{hence we have, }f(g(4))= 1

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