Given f(g(x)) = cos²x what is the outside function f (x) and the inside function ? g(x) so that the Chain Rule can be applied to differentiate f(g(x)) f (x) = cos x, g(x) = x² All of these will work f(x) = (cos x)², g(x) = x f(x)=x², g(x) = cos x f(x) = (cos x)², g(x) = cos x

Q: 5. Use the chain rule to compute the derivatives. a) f(x) = sin²x = (sin x)² b) f(x) = sin(x²) c)…

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Q: g(æ) + x sin(g(x)) = x? – 25 and g(5) = 0, then g (5):

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Q: Consider the function P(x) = (x – 3)²(x – 9) - The y-intercept is the point The x-intercept(s)…

A: Please refer to the image below

Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 3x + 1. 1 h(x) = V3x + 1 f(x) =D

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Q: Let g(x) = VT + 3.

A: Given,  g(x)=x2+3

Q: What transformation is required to obtain the graph of the function f(x) = 8cosx from the graph of…

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Q: 1 x-2 f(x)=- y g(x)=√x

A: To find the composite function

Q: Find f(x) and g(c) such that h(x)=(f•g)(x) h(x)=(x^2+7)^5

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Q: If f(x) = z + 5 and g(z) = z - 5, (a) f(9(x)) (b) 9(f(x)) (c) Thus g(z) is called an function of…

A: Given f(x)=x+5 and g(x)=x-5. a. f(g(x)) As g(x)=x-5 we will substitute the value in place of g(x)…

Q: f(x) = sec x As x = π-/2, f(x) =  As x = π+/2, f(x) =

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Q: If f(x) = x + 3 and g(x) = x – 3, (a) f(g(x)) : (b) g(f(x)) = (c) Thus g(x) is called an function of…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Let f(x): = x + 6 x + 5 (a) Compute the difference quotient of fly)

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Q: 1.Find g(f(4)) 2. Find f(h(5)) 3. Find h(f(-2)) 4. Find f(g(x))

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