KWrite an equation for the inverse function, and then state the domain and range of f and f 1.f(x)=6-5√x-3

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Answered: K Write an equation for the inverse…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter10: Radical Functions And Equations

Section: Chapter Questions

Problem 19CR

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The number of cubic yards of dirt, D, needed to cover a garden with area a square feet is given by D=g(a) . a. A garden with area 5,000 ft2 requires 50 yd3 of dirt. Express this information in terms of the function g. b. Explain the meaning of the statement g(100)=1 .
A car travels at a constant speed of 50 miles per hour. The distance the car travels in miles is a function of time, t, in hours given by dt)=50t . Find the inverse function by expressing the time of travel in terms of the distance traveled. Call this function t(d) . Find t(180) and interpret its meaning.
Function c is defined by the equation c(n)=50+4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the inverse function.
Function c is defined by the equation c(n)=50+4n. It gives monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. In this situation, what information would the inverse function give us?
The function f(x) = 5280x provides the conversion from x miles to f(x) feet. a. Write an equation for f−1 b. What does the inverse function represent in the context of this problem? c. Determine the number of miles represented by 22,176 ft.
Tom and Jerry are school mates and they are playing a number-guessing game. Tom ask Jerry to think of a positive number, triple the number,square the results and then add 7.If Jerry's answer is 43,what was the original number? Use the concept of the inverse function and its domain and range in your solution
Tom and Jerry are school mates and they are playing a number- guessing game. Tom asks Jerry to think of a positive number, triple the number, square the results and then add 7. If Jerry’s answer is 43, what was the original number? Use the concept of the inverse function and its domain and range in your solution.
Function c is defined by the equation c (n)=50+4n. It gives monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. What's the inverse function? In this situation, what information would the inverse function give us? Find the value of c(7) show reasoning and explain.
Given the function, ?(?)=2.5x a. Sketch the graph of the function. b. Sketch the inverse of the function. c. Write the equation of the inverse of the function.
Using the function represented below, provide the solution to each problem a. Find h(-1) b. Find h(2) c. For what value of x is h(x)= 3 d. For what value of x is h(x)= 0
f(x) = (x − 2)/(3x + 5).Solve:(a) find the inverse function of f, (b) graph both f and f −1 on the same set of coordinate axes, (c) describe the relationship between the graphs of f and f −1, and (d) state the domains and ranges of f and f −1.
3. If the function is one-to-one and has x and y-values of (5, 0), what is its inverse values? a. (5, 0) b. (0,-5) c. (0, 5) d. (-5, 0)

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K Write an equation for the inverse function, and then state the domain and range of f and f1. f(x)=6-5√x-3