You are given two functions, f and g if - 2 1+

Q: At x = 3 + Ax, the value of the function is f(3 + Ax) = 17 - + Ax Hence, (3 + A3²) -( 17 m = lim Ax…

A: Solution: The objective is to fill the required blanks

Q: - x + 1 If f(x) = find (fof) (x). X - 1

A: The composite function f∘fx is consist of two functions. Both functions are fx. We can also write…

Q: How does the function behave as lim x → 3- for 7/(3(x-3)(5-x))?

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Q: Show that f(g)x = x - 5x  Show f(g)x = x

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Q: Determine the interval (s) where the following function is continuous x-7 f(x)= (x-7)x+4)

A: In the given function (x-7) is a common factor in numerator and denominator. So, it will cancel out…

Q: -(x+ 6)2 + 4 for x 2 Find f(-4)

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Q: How to graph f(x)=x+3 for x<0

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Q: Find the domain and range of f(x)= (ex)/(1+ex)

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Q: 5. (a) Define piece-wise defined function. The function f is defined as x + 3, 5, (-x + 2, -2 2 f…

A: The objective is to define piecewise defined function and find the domain and intercepts of f and…

Q: If the function f (x) is continuous for all real numbers and if f (x) x²-4 when x + -2, then x+2 f…

A: f(-2) = -4

Q: A function and its graph are given. Fx) = + 4x - 20x - 20 250 200 150 100 50 -10 -5 - 50 (a) From…

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Q: Is function f even, odd, or neither? f(x)=3|x|+5x^3

A: Find f(x) is even, odd, or neither.

Q: What is the domain and range of the function f(x) = -3(2)*+1 – 4?

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Q: un 5 (2) = 2² - 82 and 9(2) = {-2₁" 22-5 x-1, x Evaluate(f/g) (7)

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Q: Determine for what x values the function f(x)=x^2-3x+2/x^2-1 is discontinuous

A: Function is discontinuous at that point where denominator of the function  not define

Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

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Q: F(x) = x 1 + 3x2 - — 16х — 20 y 100 50 X - 10 -5 -50! (a) From the graph, estimate where f"(x) > 0.…

A: a) f"(x)&gt;0 By looking at the graph we can conclude that it between the point (0 to -5). As the…

Q: You are given two functions, f and g if - 21-

A: We have to find out

Q: The domain of the function 11x + 7 is I - 3 f(z) = %3D

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Q: For the one-to-one function f(x) 2x+3/x-1, show f^-1(x) x+3/x-2

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Q: Suppose that f(x) is a function with f( – 1) = – 9 and f(3) = 9. Determine which choice best…

A: given: we have a function f(x) such that f(-1)=-9 and f(3)=9. the given statement is: ''f(x)=0 for…

Q: What is the domain of if x0 Give the range of f(x) = x< 0 A. (-00, 00) B. (-4, 0) C. (-4, 00) D.…

A: As per guidelines we have to solve three suboarts Since ist two question answer is not in option  So…

Q: f(x) = 1- (x - 1), xs2 lx-2, x > 2 y y 10 10 5 -10 -5 10 - 10 -5 10 -5 -5 - 10 -10 y y 10 10 5 - 10…

A: Topic - functions and their graph

Q: b) Find the Constants "a" and "b" such that the following function is continuous for all real…

A: We have to properties of continuity first.

Q: 5+x if x > 1 if – 2<x< 1 if x < -2 (A) ƒ(x) = {2 1– x2

A: According to the given function, fx=5+x, if x≥1 Thus, for x≥1, the graph of the function is a part…

Q: I'm confused on how to put a piecewise function into interval notation

A: To rewrite the definition of the given function using interval notation