3. Consider the piecewise functions f(x) and g(x) defined below. Suppose that the function f(x) is differentiable everywhere and that f(x) > g(x) for every real number x. What is then the value of a + k? 1. ○ 2. ○ 3. 4. f(x): if x a = (x-2)2(3x+1) if x > a g(x) = So = 1. 85/16 2. 83/16 3. 81/16 4. 5 if x k 64(x-k) if x>k

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A: one- one function :Let f be a function which is one one if        x1≠x2   ⇒  f(x1) ≠ fx2 for every…

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A: Given -  To find - Find

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A: Given,         A table of values of gx is shown below :

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Q: x+7, -4 h er. f(0) = 7. f(1) = 8, f(2) = -5, and f(3) = -10, of b

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

A:

Q: 1. How many non-real zeros does the function f(x) = x - 2x + 8x-16x have? 1. 0 2. 2 3. 3 4. 4

A:

Q: 3. Show algebraically that the function f (x) x* – - 2x + 5 has even, odd or neither symmetry.

A: To find out that the function has even, odd or neither of these symmetry.

Q: 11. Given f(x) = 2x² + 1 and g(x) = 3x – 5, find the following: a. f(g(2)) b. f(g(x)) c. g(f(x)) d.…

A: From the given data:

Q: 13.   please help   Either f(x) a graphically defined function.   calculate:

A: Step 1:Step 2: Step 3: Step 4:

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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

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A: NOTE: Refresh your page if you can't see any equations. . to find an inverse function, interchange…

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