95 Answered Questions for the topic Rational Functions

Rational Functions Test Preparation Algebra 2 Algebra

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... more
Rational Functions Range

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.
Rational Functions Math Algebra Polynomial

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... more
Rational Functions Math Help Pre Calculus

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
Rational Functions Math Algebra 2 Algebra

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... more
Rational Functions Precalculus Domain Math Help

01/18/17

Find the domain of the rational function.

F(x)=3x(x-2)/6x^2-41x-7

01/18/17

Find the vertical, horizontal and oblique asymptotes.

R(x)=11x(x+10)
Rational Functions

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?
Rational Functions Precalculus

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)
Rational Functions Precalculus

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).... more
Rational Functions Algebra Asymptotes

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,... more

12/04/16

Rational Function

Find a rational function that represents a graph that has a vertical asymptote at x=2 and x= -3 and a horizontal azymptote at y=0.   the answer is f(x)= (x-4)/(x2+x-6)    I understand how the... more
Rational Functions Functions Asymptotes

11/23/16

How to create the function?

create a rational function with a slant asymptote of y=x+8 And vertical asymptotes x=2 and x=-1
Rational Functions Algebra 1 Functions

11/15/16

Rational Function

given f(x)= t3-2t2-8t/t2-4  find the domain, asymptotes, holes and intercepts.   I know that to find the x intercept you set y=0 and solve for x but I am unsure how to isolate x when the... more
Rational Functions

10/31/16

equation of rational function

Find an equation of a rational function f that satisfies the given conditions.vertical asymptotes: x = −3, x = 5horizontal asymptote: y = 2x-intercept: −5, 3; hole at x = 0     Thanks!
Rational Functions

10/15/16

If a gas is contained in a 2L container with a pressure of 11 atm, find the resultant pressure of the gas after it is transferred to a 5L container

I dont understand how to solve this problem  
Rational Functions Algebra 1 Algebra 2 Algebra

10/13/16

Graphing a Rational Function

Please help me graph this rational function g(x) = (-5x)/(x2-9) I'm stuck with plotting the points and sketching the graph.
Rational Functions Algebra 1

08/14/16

Write a function whose graph is a hyperbola that has the given asymptote and passes through the point.

1.) x=5, y=6;(4,2)   2.) x= -1 y=-3; (1,2)    
Rational Functions Algebra

07/25/16

Unsure of how to write an equation for rational functions

Write an equation for a rational function with:Vertical asymptotes at x = -4 and x = 1x intercepts at x = -6 and x = 5y intercept at 2   y=
Rational Functions

06/12/16

rational equation questions

what is the solution for to the rational equation x-2/x+4+x+1/x+6=11x+32/x^2+10x+24    
Rational Functions Partial Fraction

04/30/16

Rational Function into Partial Fraction

HI Looking to make 72/36s+s^3 into partial fraction.    Can find the value of A ok but can't seem to cancel out A value to find B. Expanding the denominator I got s(s^2+36), then when I come to... more

04/28/16

How do I set this up? I know the info, but I'm still confused

Bob drove 120 km in traffic.  On the returning trip, he drove twice as fast.  The total time was 4 hours.  What was the rate for each direction?
Rational Functions Math Algebra Polynomials

04/08/16

Find the x-coordinate of any holes for the following function:

g(x)=   x^2-4         ------------         x^2-3x-10     A. 2 B. -2 C. 5 D. 1 E. None of the above

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