140 CHAPTER 3 Functions tab B 49. Let f(x) = (x - a)/(x + a). (a) Find f(a), f(2a), and f(3a). Is it true that f(3a) = f(a) + f(2a)? (b) Show that f(5a) = 2f(2a). ང @ 2 Q W #3 $ 4 005 % E R T 66 29 & 7 8 00 YU 61 0 .. delet 11

Q: (c) There are four different values that are taken by the function f(x) = (100x) (x) List all of…

A: We recall some basics facts about Euler's function to solve this problem.

Q: x + 8 If f(x) = 7x – 8 and g(x) 7 (a) f(g(x)) = (b) g(f(x)) = (c) Thus g(x) is called an function of…

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Q: The function f is given below. Find f1(x). 2x-4 f(z) = %3D x-5

A: to find an inverse function, interchange variables, and solve for y

Q: Let f(x) = V3x + 8. Let g(x) = 3x + 7. Evaluate f(g(4)). Round your answer to the nearest HUNDREDTH…

A: here we have to find the value of given function. the solution is following.

Q: f(x + h) – f(x) If f(x) = x - 5x + 1, find h

A: Given- fx=x2-5x+1 To find- The value of fx+h-fxh

Q: For f(x) = x2 +3 and g(x) = x² - 7, find the following functions. a. (fo g)(x); b. (g o f)(x); c.…

A: f(x)=x2+3 and g(x)=x2-7

Q: Let f(x) = x´ + 6x and g(x) = 5 – x. H() =D (Simplify your answer.)

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Q: +5x-3 f(x) %3D when x = 1.5 x+2

A: fx=x3+5x-3x+2

Q: -4x+12 ifxS-8 For the function, f(x)= 5 if-8<x<5.find the following. if x25 (c) f(-4.3) (1(6) |-(0)…

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Q: = 4, fi(5) = -1, g(5) 2, and g (5) 25. If f(5) 2f(a) 3g(x) 3, find hi(5) if h(a) =

A: Differentiate the given function on both the sides with respect to x to get an expression for h’(x);

Q: Given that f(x) = 3X, identify the function g(x) shown in the figure. %3D O A) g(x) = 3-X - 2 %3D

A: NOTE: Refresh your page if you can't see any equations. . the base function is  . as we can see, the…

Q: Let f(x) = 3x + 8 and g(x) = -7x + 3. (a) Find f(g(x)). (b) Find g(f(x)).

A: The given function are

Q: What is (-4) for the given function? [math][/math] x2 – 16 - if x + -4 f(x) : x+ 4 х — 4, if x = -4

A: The function is given by fx = x2-16x+4if x≠-4x-4if x=-4 To evaluate: The value of f-4 for the given…

Q: x + 7 If f(æ) = 5x – 7 and g(æ) 5 (a) f(g(x) : (b) g(f(x)) =

A: Solution

Q: Let f(x) = 3x – 6 and g(x) = x² – 3æ + 7. Then (f o g)(x) = (g o f)(x) =

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Q: f(x) a. f(-2) X b. f(2) c. For what value of x is f(x) = 9? -4 3 -2 12 4 15 2.

A: Given table values are:                                             x f(x) -4 3 -2 6 0 9…

Q: The function f(x)=0.5(2)xf(x)=0.5(2)x represents the growth in square centimeters of a fungus after…

A: Please see the below picture for detailed solution.

Q: What are the zeros of the function f(x) = 2 - 4sinx? Ox-+2rn and x- Ox-7+ O 5x 6 Ox-+2rn and x- 3…

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Q: 1) Find the following for f(x) = 2x +3 and g(x) = x² – 4. a. (f o g)(x) owing function b. (gof)(x)…

A: Use method to solve this

Q: Characterize the following function in terms of notation. (a) f(n) = (n² + 2)(10n³ +5n-6)n¹, n ≥ 0.…

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Q: function f(x) = 4x +4>

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Q: Let f(x) = 4x – 1 and g(x) = x + 4. Find (fo g)(6). Then (fo g)(6) = | - (Simplify your answer.)

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Q: The functiong (x) = |x² – 16| + 5is differentiable everywhere except where x = Type the value of x.…

A: Consider the function g(x)=|x2-16|+5. This can be written as g(x)=x2-16+5, if x≤-4-x2-16+5, if…

Q: B. Given f(x)= 4x + 3, find f(x+h)-f(x) 1. f(3) 2. f(-3) 3. f(a + 1) 4. f(x + h) 5.

A:

Q: A2. b. Given the two generating functions f (x) = and g(x) = find the (1-x)2 (1-x)2 generating…

A:

Q: Let f(x) = - 10x + 5. Find 1(2) f ¹(3). 2 (Simplify your answer.)

A: This question can be solved using the concept of functions.