Answered: Two functions, f and g, are related…

Two functions, f and g, are related by the equation g(x)=f(x−2). Use the numerical representation of f to make a numerical representation of g.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 3RE: Determine whether the function is increasing ordecreasing. f(x)=7x2

See similar textbooks

Related questions

Q: 1 and g(x) 2 4 find the domain of f(g(x)) - 4 Given f(x) -

A: The domain of f(x) is -∞ , 2∪2, ∞ . The domain of g(x) is -∞ , 4∪4, ∞ . Now, f(g(x))=f4x-4…

Q: If g(x) = 3x - 2, then the value of g(2x + 4) is . Show your work here:

Q: Find f + g, f - g, fg, and f/g. Determine the domain for the function. f(x) = √(x - 2), g(x) = √(2 -…

Q: The graph of a function in the form fx)=a(x-h)+k Is shown. Use the graph to enter an equation for…

Q: Find two functions f and g such that (f ∘ g)(x) = h(x). (There are many correct answers. Use…

A: Given data: The expression for the given function is h(x)=(8x+1)2. The given expression for the…

Q: Pls show complete and detailed solution. Thank you :) Sketch a graph of the function f that has the…

Q: A function f is given F(x)=-x^2+6x+1 Find the domain and range of f on the graph

A: Topic- function and application of derivatives

Q: Find f + g, f - g, fg, and f/g. Determine the domain for the function. f(x) = √(x + 6), g(x) = √(x -…

Q: Use a graphing utility to construct a table of values for the function. f(x) = (1/5)-x The second…

A: We can use the graphical utility in order to solve the given problem.

Q: Find f+g, f-g, fg and - Determine the domain for each function. g f(x)=4x-5, g(x)=x-8 (f+g)(x) =…

Q: The graph of the given function is drawn with a solid line. The graph of a function, g(x),…

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

A: Given, function is

Q: (a) Graph the functions ƒ(x) = x/2 and g(x) = 1 + (4/x) together to identify the values of x for…

A: To identify the values of x for which x /2 >1+(4/x).Part a) Graphically using the functions f(x)…

Q: Function g is related to the parent function. Identify the parent function f. g(x) = - |x+3| + 6 %3D

A: The given function is: g(x)=-x+3+6

Q: A function g is given by g(x)=x +8. g(x+h)-g(x) Find g(-5), g(0), g(2), g(a +h), and g(-5) =D

Q: Library of functions solve If f(x)= {2x-4. If -1 less than equal to x less than equal to 2 If…

A: Given,

Q: Functions f(x) = 5*-4 and g(x) =1+2x are given. Determine (f o g)(3).

Q: en the functions: g (4) = x-3| 1 h (x) = x-5 f(x) = -4x luate the function (f-g) (x) for x= 4.…

A: Topic:- function

Q: 1 Let f(x) = /6x -1 and g(x) = -. Find (f+ g)(x), (f- g)(x), (fg)(x), and (x). Give the domain of…

A: We are solving the first three subparts and for the next subparts post the question again and also…

Q: How to graph both compositions of these functions in desmos( it’s a website to graph) f(x)=2x…

Q: Question Use the quotient rule to evaluate h' (a) for the given function h(x) and a. 7x h(x) = a = 2…

Q: Function 1 Function 2 i function 1 is f (x), what does that make function 2? Of (-4) Of (x +4) Of…

Q: Electric Current. Suppose you have two electronic devices that have different currents when x = 2.…

Q: Pre Calculus (not Calculus) let g(x)=x+7/x. Find the domain and range.

Q: Find f+g, f-g, fg, and flg and their domains. f(x) = V 25 - x2, g(x) = Vx+3 Find (f+ g)(x). Find the…

A: Given that f(x)=√(25-x^2) and g(x)=√(x+3)

Q: Function f(x) =3^x is vertically stretched by factor of 4

A: If a function y = f(x) is vertically stretch by a factor m then the equation of the transformed…

Q: A function g is given by g(x)=x²-9. Find g(-9), g(0), g(7), g(a+h), and g(- 9) = (Simplify your…

Q: Find two functions f and g such that (f ∘ g)(x) = h(x)

A: 1) a) From the graph we have f(1)=2 and g(1)=3 (f-g)(1)=f(1)-g(1)=2-3=-1 b) We have g(2)=2 and…

Q: - x (a) Determine whether f(x) is even or odd or neither. x2 + 1 (b) Determine whether g(x) = x° –…

Q: Express the function.f(x)= (X -7)^5 in the form F∘g find f(x) and g(x)

Q: f(x)- f(a) Simplify the difference quotient for the given function. X-a f(x) = 4 - 4x-x2 f(x)- f(a)…

Q: Function g is related to the parent function. Identify the parent function f. g(x)= -x³-2

Q: Find `f(g(x))` and its domain

Q: Compare and contrast the characteristics of functions g(x) and h(x)

A: we can see that the figure g(x) and h(x) are both vertical parabolas and we have to compare these…

Q: let f(x) = x-4/ x2+x-6 and g(x) = x+2/ 2x+6 find an equation of the function f-g ( simplify your…

Q: a b' d Graph of f The graph of the function is shown in the figure. For which of the following…

A: I have provided solution in step2

Q: Looking at the parent function of f(a) = |æ| how would the graph of g(z) 3f (x) be different? Graph…

A: Given: Graph of f(x)=|x|.

Q: Determine the point(s) of intersection of the functions f(x)=4x2-x+5 and g(x)=+41x-91…

Q: Determine all of the relative extreme values of the function f(x) = 2x² – 5x +2 O The relative…

A: fx=2x2-5x+2 Differentiating with respect to x, we get f'x=22x-51+0=4x-5 Now to find critical values,…

Q: The table gives some values of functions f and g. Write an equation that could be true for all…

Q: How to graph both compositions of these functions in desmos (it’s a website that you can graph)…

A: If f(x) and g(x) are two then the compositions of these functions are defined as:…

Q: f(x) = x- 3, g(x) = x2 Find (f+ g)(x). (f + g)(x) %3D Find the domain of (f+ g)(x). (Enter your…

A: Topic:- function

Q: Let f(x) = 3x2 - 2x and g(x) = x2 - x+ 3. Find (f+ g)(x), (f - g)(x), (fg)(x), and (x). Give the…

Q: x -9 Consider the function f(x) =- 2x-8 Determine the following key features of the function:

A: The given function is as follows - f(x) = x2-9x2-2x-8 We have to find the following of the…

Q: f(x) = 5 − x, g(x) = x2 − 4x Find (f + g)(x). Find the domain of (f + g)(x). (Enter…

A: Given functions are By algebra of functions , we have

Q: Functions f(x) = 5"-4 and g(x) = 1+2x are given. Determine (f o g)(3).

Q: find the functions f+g, f-g , fg, and f/g. f(x) = 1 divided by x2 + 9 ; g(x) = 1 divided by x2 -9

Q: f(x) = x2 + 5x, g(x) = 7x² – 1 Find (f + g)(x). Find the domain of (f + g)(x). (Enter your answer…

A: We have to find

Concept explainers

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Question

Two functions, f and g, are related by the equation g(x)=f(x−2). Use the numerical representation of f to make a numerical representation of g.

x	-4	-3	-2	-1	0
f(x)	4	-1	-3	-4	-7

Complete the table of values below.

x	____	____	____	____	____
g(x)	4	1	-3	-4	-7

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Polynomial$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Determine whether the function is increasing ordecreasing. f(x)=7x2
Focusing Distance For a camera with a lens of fixed focal length F to focus on an object located a distance x from the lens, the film must be placed a distance y behind the lens, where F, x, and y are related by 1x+1y=1F See the figure. Suppose the camera has a 55-mm lens F=55. a Express y as a function of x, and graph the function. b What happens to the focusing distance y as the object moves far away from the lens? c What happens to the focusing distance y as the object moves close to the lens?
The amount of garbage, G, produced by a city with population p is given by G=f(p) . G is measured in tons per week, and p is measured in thousands of people. a.The town of Tola has a population of 40,000 and produces 13 tons of garbage each week. Express this information in terms of the function f. b.Explain the meaning of the statement f(5)=2 .
Average Rate of Change The graphs of the functions f and g are shown. The function _____ (f or g) has a greater average rate of change between x=0 and x=1 .The function (f or q) has a greater average rate of change between x=1 and x=2 .The functions f and q have the same average rate of change between x = ____ and x = __.