# algebra word problem

To remodel a bathroom a contractor Charles \$25 er hour plus material costs, which amount to \$3825. Therefore, the total cost to remodel he bathroom is given by f(x)=25x+3825 where x is the number of hours the contractor works. Find a formula for f^-1(x). What does f^-1 compute?

1. 👍 0
2. 👎 0
3. 👁 124
1. Switch the variables x and y

y=25x+3825 would become

x=25y+3825 (solve for y)

x-3825=25y

y=(x-3825)/25

and if you do f(-fx) meaning you plug in the inverse into the x of the original function, you should get x.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Calculus 1

A fence is to be built to enclose a rectangular area of 220 square feet. The fence along three sides is to be made of material that costs 6 dollars per foot, and the material for the fourth side costs 13 dollars per foot. Find the

2. ### Math

A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs 0.03 cents per square centimeter. The material for the top and bottom of the can need to be thicker,

3. ### Math

A fence is to be built to enclose a rectangular area of 310 square feet. The fence along three sides is to be made of material that costs 3 dollars per foot, and the material for the fourth side costs 14 dollars per foot. Find the

4. ### calculus

A rectangular field is to be fenced, one side of which is the edge of a straight river. It is given that the material for the two opposite side costs Php 3.00 per meter and the material for the side opposite the river costs Php

1. ### Math

How do I solve this if there is no equation to this 1. The population of the bacteria in a Petri dish increases by a factor of 10 every 10 hour. If there are initally 20 bacteria in the dish, how long will it take before the

2. ### Calculus

A cylinder shaped can needs to be constructed to hold 250 cubic centimeters of soup. The material for the sides of the can costs 0.04 cents per square centimeter. The material for the top and bottom of the can need to be thicker,

3. ### Math

A fence is to be built to enclose a rectangular area of 310 square feet. The fence along three sides is to be made of material that costs 3 dollars per foot, and the material for the fourth side costs 14 dollars per foot. Find the

In a blueprint, each square has a side length of ΒΌ inch. 1 in. : 6 ft Bathroom - 6 squares Bedroom - 20 squares Living Room - 28 squares a. Ceramic tile costs \$5 per square foot. How much would it cost to tile the bathroom? \$ b.

1. ### Math

The drama teacher is making costumes for the school play. Each costume requires 1 and 2/3 yards of material and 3/4 of a yard of ribbon. The material costs \$2.99 per yard and the ribbon costs 59 cents per yard. What is the

2. ### Math 115

A fence is to be built to enclose a rectangular area of 320 square feet. The fence along three sides is to be made of material that costs 6 dollars per foot, and the material for the fourth side costs 14 dollars per foot. Find the

3. ### Calculus

Suppose that you are to make a rectangular box with a square base from two different materials. The material for the top and four sides of the box costs \$1/ft2\$1/ft2; the material for the base costs \$2/ft2\$2/ft2. Find the

4. ### Math (algebra)

Could you help me with this math question: A can in the shape of a right circular cylinder is required to have a volume of 500 cubic centimeters. The top and bottom are made of material that costs 11 cents per square centimeter,