Essential Calculus
2nd Edition
ISBN: 9781285209067
Author: Stewart
Publisher: Cengage
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Let h(x)=f(x)+g(x). If f(x)=2x2 and g(x)=8x5, what is h′(x)?
Do not include "h′(x)=" in your answer. For example, if you found h′(x)=5x2+1, you would enter 5x2+1.
Use the function f(x) =3x2-5x,g(x)=6x-4,h(x)=5-x3
find the (gof)(x)
Let h(x)=f(x)−g(x). If f(x)=9x2 and g(x)=8x, what is h′(−5)?Do not include "h′(−5)=" in your answer. For example, if you found h′(−5)=7, you would enter 7.
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- The number of cubic yards of dirt, D, needed to cover a garden with area a square feet is given by D=g(a) . a. A garden with area 5,000 ft2 requires 50 yd3 of dirt. Express this information in terms of the function g. b. Explain the meaning of the statement g(100)=1 .arrow_forwardUse f(x) = 2x - 3 and g(x) = 4 - x2 to evaluate the expression. (a) (f ∘ f)(-1) (b) (g ∘ g)(-1)arrow_forward
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