Consider the function H(x)=cos(e* +5). If we write H as a composition H(x)= f(g(x)), what can f(x) and g(x) be? O f(x) =e* and g(x)=cos x . O f(x)=x+5 and g(x)=cos(e*). O f(x)=cos x and g(x)=e* +5. O f(x)=cos(x)+5 and g(x)=e* . O H cannot be written as a composition of two functions.

Q: Graph f(x) = sin x, g(x) = cos 2x, h(x) = ( f - g)(x) in the same rectangular coordinate system for…

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Q: Let COS X if x 0 %3D | (a) sketch the graph of f (x) (b) Is f (x) continous at x = 0? Give reason/s…

A: f(x)=cos x         if x<00                 if x=01-x2         if x>0

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Q: Suppose f(x) is the function such that for a > 0 we have f(x) = (e" – 1) In(x) and for x < 0 we have…

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Q: Consider the following. cos(x + y) cos(x - y) = cos(x) - sin²(y) Prove the identity. - sin(x)…

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Q: Let f(æ) = sin(x) and g(æ) = x² . Find (go f)'(x) O 2sin(x)cos(x) O 2xcos(x?) -2æcos(x?) 2xcos(x)

A: Given that f(x)= sinx and g(x)=x2. And we find (g0f)'(x). We know that d(xn)/dx = nxn-1.     Here i…

Q: Let f(2) = - 8 cos x + 9 tan e f (2) = (-) = C 4

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Q: Given the functions Az) = cos(x) and g(z) = x - 5x- 6, determine the domain of the combined fx)…

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Q: Suppose f(x) =xsec²(x²). Evaluate: ] f(x)dr

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Q: Let ƒ (x) = x³ – 5x² – 8 and let g be the inverse of f (i.e. g (x) = f -1 (x).

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Q: Let f(x) = 3x + 1, x, = -1, x, = 0, x3 = 1, x4 = 2, and X5 = 3. Find E f(x,).

A: we have the given the following details   f(x)=3x+1x1=-1x2=0x3=1x4=2x5=3We have to find∑i=15f(xi)

Q: cos(x) Find g' (x) f(x) and let g (x) :

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Q: 4. Let f(x)= |x| and g(x) = x-3. (a) Determine the formulas for each of the related composite…

A: The composite function is defined as when the output of one function is used as the input of another…

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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: Let cos x if x 0 (a) Sketch the graph of f (x). (b) Is f (x) continuous at x = 0? Give reason(s)…

A: Explanation of the answer is as follows

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A: Here we have, V(x)=lnsin(x)-cot(x) We have to find V'(x)=?

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Q: " Given what is the outside function f(g(x)) = cos x² and the inside function ? f(x) g(x) so that…

A: Given a composite function

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A: The objective is to find the derivative of f(x).

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A: Consider the left hand side,

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Q: - Show that f(x)= E ƒ(x), where E is a constant and f(x)= e²x + e2x

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