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Ksenya-84 [330]
1 year ago
5

For what value of g does the function f(g) = g2 + 3g equal 18?

Mathematics
1 answer:
nikdorinn [45]1 year ago
3 0

Answer:

B) 3

Step-by-step explanation:

f(3) = 3^2 + 3(3) = 9 + 9 = 18

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\\(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

\\(iv)\\&#10;\text{Since f(3)=5, so we have}\\&#10;\\&#10;g(f(3))=g(5)\\&#10;\\&#10;\text{since the value of g is 2 at x=5. so }\\&#10;\\&#10;g(f(3))=g(5)=2\\&#10;\\&#10;\text{hence we have, }g(f(3))= 2

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3 years ago
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