Consider the following functions. f(x) = x2, g(x) = Vx - Find (f o g)(x) Find the domain of (f o g)(x). (Enter your answer using interval notation.) Find (g o f(x) Find the domain of (g o f)(x). (Enter your answer using interval notation.) Find (f o f(x) Find the domain of (f o )(x). (Enter your answer using interval notation.) Find (g o g)(x) Find the domain of (g o g)(x). (Enter your answer using interval notation.)

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Q: Find the value of the constant (a , b, or c) that makes the function continuous.

A: If function is continuous  Then, it will be continuous on x=-1 and x=12 Therefore, limx→-1-1fx=f-1…

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A: Refer  to the question the provided function is f(x) = 4x^3-(x+9)^1/2.

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Q: Find k such that the line is tangent to the graph of the function.…

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Q: Find the value of k so that the function 5x+3 if x<3 f(x) =. kx2 if x 23 is continuous everywhere?

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Q: Find the values of k that make the function continuous. k2 – 22x, x > 11 - f (æ) = kæ, x < 11

A: to find the values of k the function is to be continuous for x=11 value of k is 22 or -11.

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Q: Over the interval (0,2), the function f(x) = (-x²) e*

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Q: For the function f defined by f(x) = 2x*-8x²+10x²-7x+1 for x E R* Use the Ad-hoc Calculations method…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: - Find the zero and its order for the function f(2)=1-Ti+Z+e.

A: Note: If W is the Lambert function then Wxex=x

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A: Given:-f(x)=3+3x-3x2 ; 0, 3f'(x)=3-6xfor critical pointsf'(x)=03-6x=06x=3x=36=12second derivative…

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A: i) F(x)=x3-x2-1ii) F(x)=x2-10x+2

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A: True or false: For the function f(x) =1x-3, f is not defined at 3, so f is discontinuous at 3.

Q: Suppose that f(x) is a differentiable function such that f(3)= 8 and f'(3)=-2. If g(x)=xf(x), then…

A: Product Rule of differentiation : d(u.v)dx = u.dvdx + dudx.v

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Q: 2 Consider the function f (x) = x + 6x 3 (a) Find the domain of f (x).

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Q: What happens to the function f (x) = 1 + as x approaches to zero.

A: The definition of the function gx=x is given by, gx=x for x≥0=-x for x&lt;0 Thus, the left hand…

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A: Given: fx=1x,x&lt;-1, x&gt;12ax+b,-1≤x≤12 if given function is continuous then limx→-1-fx=limx→-1+fx…

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A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: 2 a) For the function f(x) = find f' X- 3'

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Q: The piecewise function f(x) is defined below. f(x) = {kx² - 4, Is-2 x+ 2, xS-2 x>-2 For what value…

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Q: let f be the function given by f(x)=kx/(x^2+1), where k is a constant.  For what values of k, if…

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A: Given function is  h(x)= x2-93.

Q: Consider the following.       Function                 Line f(x) = x2 − 6              2x+y=0   a.)…

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