What is the property of the function and its inverse? Graph the two functions show that f[f-1(x)] =x  f(x)=2x+3/x+2

Q: Sketch the graph of the function defined by the formula 0 , x<-1 f(x) = |1– x² ,-1<x <1 x 2 1

A: Given:     To determine: the graph of f(x)

Q: The distance from Casisang National High School to Misamis Oriental General High School is 20 km.…

A:

Q: You have 600 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a…

A: Let the length of the rectangular area=x and the width=ySo, perimeter=2(x+y)=600or, x+y=300or,…

Q: Evaluate the indicated function for f(x) = x² - 1 and g(x) = x - 3 algebraically. If possible, use a…

A:

Q: Find all points of intersection between the graphs of the functions f(x) = (x + 5)(x-4) and g(x) = x…

A: Explanation of the answer is as follows

Q: If you are given a graph of f, how do you find a graph of the inverse function f -1 ?

A: To graph, the inverse function f-1, use the following steps. Step 1) Mark some points on the graph…

Q: If equations for f and g are given, explain how to find f - g.

A: If equations for f and g are given, explain how to find f - g.

Q: Describe how 1 g(x) = = -f(x) f(x) transforms the graph of the parent function f(x).

A: Given :   Therefore g(x) is reflected.

Q: If you are given a function’s equation, how do you determine if the function is even, odd, or…

A: Consider a function f(x)  Function f(x) is odd if by replacing x by -x in the function, the function…

Q: Use the graph of f to draw the graph of its inverse function.

A:

Q: Write an equation for the inverse function for the one-to-one function defined 3 - x by f(x) x + 3

A:

Q: You have 200 feet of fencing to enclose a rectangular garden. Express the area of the garden, A, as…

A: Given: perimeter of rectangular garden is 200 feet. we know that perimeter of rectangle is given by…

Q: The graph shows the function f ( x ) = x 3. What is the value of f − 1 ( x )  at x = 3?

A: The graph shows the function f ( x ) =x3 we have to find the value of f-1(x) at x=3

Q: In Problem,sketch the graph of each function.Be sure to label three points on the graph. f(x)=1/ x

A: Given, f(x)=1x at x=1  f(x)=1/1=1 at x=-1 f(x)=1/-1=-1 where at x=0 function not define…

Q: In the given question, , use a graphing utility to graph the function and find the x-values at which…

A: Function:                         f(x)=4xx-3

Q: The graph of a function f is illustrated below. What is the the inverse function of f?

A: Here we have the graph of the function f(x),

Q: The graph of f (x)  is shown below.  What is the apparent zeroes of the function graphed here?

A: Given:     Zeroes of Graph:         Wherever the function graphs line cuts the x-axis are called…

Q: The point (3,-2) lies on the graph of the function, f(x). Which of the following points lies in the…

A: The point (3,-2) lies on the graph of the function f(x). That is f(3)=-2

Q: If equations for functions f and g are given, describe two ways to find (f – g)(3).

A: f-g3Subtraction of two function:f-gx=fx-gx

Q: Sketch the graphs of the functions. 7. f(x) = (x + 2) – 1

A: 7. We have to sketch the graph of fx=x+23-1. Steps: First we will draw the graph for x3. Now to draw…

Q: You have 600 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a…

A: Consider the dimensions of rectangle be x and y. and Perimeter of rectangle is 600 feet. we know…

Q: You have 800 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a…

A:

Q: On a piece of graph paper, draw the graph of the function y = -1/2 x + 1. What is the domain of the…

A: (A) Drawing graphSince, our curve is equation of line so, we can find two points and then join them…

Q: Suppose 5x + 2 f(x) 6 – 3x What are the domain and range of f(x) in interval notation? Domain of…

A:

Q: What does it mean for a function to have the Intermediate Value Property? What conditions guarantee…

A:

Q: he function f is defined by f (x) = 2x° + 3x - 2. If g is the inverse function of f and g(-7) = -1,…

A:

Q: If (-3, 1) is in the function f(x), then which of the following points will be in the function f…

A: (-3, 1) is in f(x)  Hence,  f(-3)  =  1    Taking the inverse of f at both sides    f-1 ( f(-3) )  =…

Q: Can the graph of a function be symmetric to the x- axis ? Explain why or why not. If a function is…

A: The answer is no. The graph of a function cannot be symmetric to x axis. The definition is as…

Q: 4. Graph the functions f (x) = 2(x + 6)² + 2 and its inverse.

A: The given function is f(x) = 2(x+6)2 + 2  When we put x = 0, the value of f(x) comes out to be…

Q: The function f is defined by f(x) = -2x³ - x² - 6x and the point (-1,7) is on the graph of f. If f¹…

A: Given is the function f(x)=-2x3-x2-6x and point (-1,7) is on graph f. f-1 is the inverse of f. We…

Q: Answer all parts of the attached question

A: a) For every value of x, there is only one value of y or f(x). So f has an inverse function f-1 b)…

Q: 3 5. Determine the inverse equation of the function f(x) = 3(x - 20) + 1

A:

Q: Over the interval of (1,∞) the function is positive, negative, increasing, or decreasing?

A: The given function is as shown below :

Q: Find the domain of this function. Show complete solutions: f(x)= 6-x2

A: The domain of the polynomial function, f(x)=a0xn+a1xn-1+a2xn-2+... is always a real number.

Q: How can you sometimes identify a function ƒ(x) by knowing ƒ'and knowing the value of ƒ at a point x…

A: To identify the function fx when f' and value of function fx at a point is known.

Q: a) Explain in words how does the inverse of a function f'(x) relate to the original function f(x).…

A: Inverse of a function is the way of finding the original point of function. If at x=0, f(x)= 2, then…

Q: Find the inverse of the function f(x) = – 5x² . f-'(x) = The domain of ƒ-' is

A: Solution:- let f(x)=y

Q: An airline increases its ticket price from $300 to x dollars. The dollar amount of the fare increase…

A: Given: An airline increases its ticket price from $300 to x dollars. The dollar amount of the fare…

Q: How to find the domain of a Function involving a denominator? f (x)= (x+1)/ (2-x)

A: We have to find the domain of f(x).  For f(x) to be exists  Denominator must be non zero

Q: 1 If f(x) has an inverse function f-¹(x), could either the graph of for the graph of f-¹ be…

A:

Q: How can a function be represented algebraically by formula and visuallyby a graph? Give an example?

A: How can a function be represented algebraically by formula and visuallyby a graph? Give an example?…

Q: How would I use this graph of f to draw its inverse function?

A: We know that if f(x) is a linear function , then inverse function of f(x) is also linear , so graph…

Q: A water feature on a fountain follows a parabolic path and is represented by the function f(x) =…

A: Let's plot the graph : x -1 -2 0 1 2 3 4 5 6 f(x) -6.75 -15 0 5.25 9 11.25 12 11.25 9

Q: 36-x f(x) = 35 - x -x+1 what The domain of the function

A:

Q: If f(x) has an inverse function f-¹(z), could either the graph of for the graph of f be symmetric…

A: Given that fx has an inverse function f-1x. We have to check and explain if either the graph of f or…

Q: The graph of a constant f(x)= c for any constant is c is a horizontal line through the point (0,C)…

A: The graph of a constant function  f(x)= c for any constant is c is a horizontal line through the…

Q: If you are given the equations of two functions f(x) and g(x), how can you determine the composition…

A:

Q: What do you mean by even and odd function? Give two examples and show by calculation that those are…

A: f is an Even Function if f(x)=f(-x) g is an odd Function if g(-x)=-g(x)

Q: I am studying for a precalc exam. Could you explain how to find the inverse of a function such as:…

A: Plug g(x)=y , then switch x and y.

Q: How are the domains, ranges, and graphs of functions and their inverses related? Give an example.

A: