“Find functions f(x) and g(x) such that the following statements are true.  Explain your thinking on how you found the functions. the limit as x approaches 1 of f(x) = 0 and the limit as x approaches 1 of [f(x)g(x)] = 3  when using limit laws for the second part you basically get zero times g(x) so how do you get 3? If i were to say f(x) = (x squared plus x) which equals zero and make g(x) 3/(f(x), the limit doesn't exist for g(x) so wouldn't that make it invalid?

Q: find the domain of the function algebraically  f(x) = 5/x-3

A:

Q: 15. Given the graph of f(x) below, determine the equation for f(x) in terms of the parent function…

A:

Q: Which describes the end behavior of the function? f (x) = 5(4)* - 4 %3D As x 00, f (x) → 0; as x →…

A: Given function, f(x) = 5(4)x - 4

Q: you agree with the contention that the functions f(x)= x +2 and g(x)= x2 -4/x-2  are the same in…

A: Yes i agree with the contention that the functions f(x)= x +2 and g(x)= x2 -4/x-2  are the same in…

Q: f(x) = -6x + 2, (gof)(x) g(x) = 5x + 2 A

A: Given query is to find indicated function operation.

Q: F(x)= G(x)= (Fog)(x)= (Gof)(x)=

A: Since the rule of function f is "add one", therefore fx=x+1 Since the rule of function g is…

Q: The following applies to three graph of f(x): The area (A) between the graph of f(x) and the x axis…

A: Given data:     The expression for the area between -1 to 1 is: . The expression for the area…

Q: 7. For the function listed below, solve for f(x) = 0, and state the intervals for which f(x) 0.…

A:

Q: x+1 x+2 1. Let g(x)= and f(x) = - x-2 x-3 (i) Find fog and determine the domain. (ii) Find fof and…

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Q: For the function y= f(x) whose graph given below, find f(- 1). Ay 10- 8- 6- 4- 12- -10 -8 -6 -4 -2 2…

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Q: 2) Carla says that the graph below represent the function of f(x) = - (x + 1) ?(x - 2)(x – 4) .…

A: Graph of polynomial

Q: 4. If you are given the graphs of two functions, f(x) and g(x), explain how can you determine the…

A:

Q: 5 -10 1-5- 15₁ 10 15 -5 10 15 S Đ Vezango2 10 >X 15

A: The given graph is: Find the Indicated values on the graph.

Q: III) Let f, g, and h be the functions defined below: f(x) = 5* g(z) = logs (3² — 4) x 1) Find h¹(x)…

A: The given function is hx=6-x2x-5

Q: Which of the following functions has all of the following features? One negative x-intercept…

A:

Q: 2. Let f(x) = -5x3/4 and g(x) = 7x3/4 Find (f+g)(x): evaluate at x = 81 %3D

A: Evaluation of the function at value x=81.

Q: Be sure to show your work for the following questions. 1 (a) Find the domain of f(x) = V4 – x4 - x2…

A: (a)  The given function is,  f(x) = 14-x4. We have to find the domain of f. (b)  The given function…

Q: For the function f(x) = (x+1)2x-3 g Locate all stationary points of f and determine where f is…

A: given function f(x)=(x+1)2x-3 We know stationary points can be calculated by f'(x)=0 and function is…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.