Find the value of a that makes the following function differentiable for all values of x. g(x) = if x < 0 x² - 15x if x ≥0 2 ax The function g(x) is differentiable for all values of x when a = (Simplify your answer.) ...

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Q: For all functions f and g, f o g(x) = go f (x). O True O False

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Q: If c is a non zero constant then the function is always differentiable x2 + c2

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Q: for the given value of x. g Find (x) and state the domain. Then evaluate 2/5 4. f(x) = x2,g(x) =-3x;…

A: fx=x32,   gx=-3x25  :x=1

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Q: Evaluate the function. Find f(2) for (5x+1ifx<1 f(x) = 2x if 2 ≤x ≤6 2-2x if x 6 04 O 06 13 -2 PER…

A: Given: f(x)=5x+1if x&lt;12xif 2≤x≤62-2xif x&gt;6

Q: a. Determine whether f(x) = 5/(x+1) is a one-to-one function from R to R, if not, give a counter…

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Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

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Q: 2. Which of the following is NOT a root of the function f(x)= (x² – 36)(x + 1)(x – 1)? %3D -6 B -1 E…

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Q: The function f and g are defined as follows. A. -3 or f(x)%= In(x+1), x>-1 8(x)=x² +2x , x>-1 B. -3…

A: Solved below

Q: Consider the following functions. Flx) = 9(x) = x + 6 Find (fo g)(x). Find the domain of (fo g)(x).…

A: f(x) =6x, g(x) =xx+6(f o g)(x) = f(g(x))                =f(xx+6)                 =6(xx+6)…

Q: 3. and g(x): 1 be functions. Which of the following is the domain of the composite function (f o…

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Q: Express the function H in the form fo g. (Enter your answers as a comma-separated list. Use…

A: we have to find the composition function