91 Questions for the topic Rational Functions

06/25/19

#### Rational Functions

How are rational functions similar to linear, quadratic, or exponential functions? How are they different? When are these similarities or differences important when looking for intersections...
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04/07/19

#### 3 ohms=k(5)/0.02^2

The resistance of a wire varies directly as its length and inversely with the square of its diameter. If 5 feet of wire with a diameter of 0.02 inch has a resistance of 3 ohms, what is the...
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05/18/18

#### How much fencing to buy to make a square holding pen with a 5.5 foot gap (gate). The length of fencing, f, in feet is directly proportional to the square root o

Write an equation that models the length of fencing in terms of the area, A, in square feet.What is the domain of the function for length? Explain your answer.Graph the function from an area of 0...
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04/26/18

#### Cost to print files varies directly with number of copies. If it costs $45 to print 750 copies, what will be the total cost for 120 copies?

this is a rational function question that deals with direct variation.

03/06/18

#### Please help with this word problem. I'm not understanding this concept and I have to show all of the work.

Suppose x and y vary inversely, and y = 10 when x = 4. Write a function that models the variation (1pt.). Then find y when x = 90 (1pt.).
Thank you

02/25/18

#### Can i have help with these 2 Algebra 2 problems?

Been trying to solve these 2 but have been struggling with it. Here they are:
1.) (3x)/(2(x+9)) + (x-4)/(x+3) -------------Simplify the expression.
2.)(x-7)/(x^2-8x+15) - (9(x-3))/(x^2-25)...
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01/29/18

#### What expresion that represents the total amount of time Steve and Sally spent paddling? Explain reasoning.

Steve and Sally went canoeing on Red river on a day when the current flowed at 3mi/h. They left at 8:30 A.M and paddled upstream until they reached Elk Island, where they stopped to have lunch....
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01/27/18

#### Write a function y=f(x) that gives the time y, in hours, that it takes steve and sally to paddle to elk Island. Hint: use the formula d=rt

Steve and Sally went canoeing on Red river on a day when the current flowed at 3mi/h. They left at 8:30 A.M and paddled upstream until they reached Elk Island, where they stopped to have lunch....
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01/23/18

#### I got a test question that was asking me to find the x intercept of the function (8-4x)/(x^2-6x+8)

I know that you can solve for the x intercept by solving the numerator, but when I did that and got 2, it said the correct answer was that there was no x intercept. Can someone explain this to me...
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10/24/17

#### Please Help me with Advanced Functions!

For what values of b does the function 1(x)= 1/2x^2-bx+7-2b have no vertical asymptotes

10/23/17

#### Rational function help pls!

Find a rational function with the following properties (there is more than one possible answer): • vertical asymptote: x = 1 • horizontal asymptote: y = −2 • hole: x=−1 • x-intercept: (3,0)

10/22/17

#### What is the range of r(x) = 4x^2/ x^2 − 2x − 3

I just need to know what the range of this equation is.

09/09/17

#### How to find the inverse of a rational function when the polynomials are higher than degree 1?

f(x) = (3x) / (x2 + 1). Show that f-1(x) = (6 - 3x2) / (x2 + 2)2

08/28/17

#### A rational function g(x) is such that g(x) = f(x) wherever f(x) is defined. Find the value of a and b.

f(x) = (2x-2)/ x2+x-2
g(x) = a/ b+x

06/24/17

#### Worded indicies problem- Find temperature of liquid

When a liquid is placed into a refrigerator, its temperature T°C at a time t minutes is given by the formula
T=T*10^-kt
The temperature is initially 100°C and drops to 40°C in 5 minutes.
Find...
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03/21/17

#### Solve a rational function, find intercepts , domain , and asymptotes of 2(x-2)(x+1)/(x-3)(x+5)

Need this to graph please have no idea , need all intercepts, asymptotes and domain

03/09/17

#### HELP ASAP!!!! PLEASE! Solving Rational Equations!!!

We're solving rational equations and we get extra credit if we have this problem answered by tomorrow!
x+5/x^2-6x-27+x-17/x^2-18x+77=x+1/x^2-14x+33
Please include all of your work!
My...
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01/16/17

#### What is the wind speed?

An airplane makes a 990-mi flight with a tail wind and returns, flying into the wind. The total flying time is 3h 20min, and the plane's airspeed is 600mph. What is the wind speed?

12/09/16

#### What is the formula for this rational function?

Vertical Asymptote at x=-2
Horizontal Asymptote at y=1
X-Intercepts: (-3,0) and (1,0)
Y-Intercept: (0, -¾)

12/09/16

#### It costs a company $30,000 to begin production of a good, plus $3 for every unit of the good produced. Let x be the number of units produced by the company.

I have managed to do:
A) Find the formula for c(x), the total cost for the production of x units of the good. c(x) = 3x + 30,000.
B) Find a formula for the company's average cost per unit, a(x)....
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12/04/16

#### Rational Function

Find a function that represents a graph that has a vertical asymptote at x=5 and a hole at x=-3
The answer is:
k(x)= (x2+2x-3)/(x2-2x-15)
I dont understand how the numerator was found,...
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