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

Sep 9 | Kisuke from Miami Beach, FL | 1 Answer | 0 Votes

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  

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...

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

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...

Find the domain of the rational function.

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

Find the vertical, horizontal and oblique asymptotes.

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

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?

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)

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,...

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...

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...

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 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...

Nov 15 | Katie from Tucson, AZ | 1 Answer | 0 Votes

equation of rational function

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

Oct 31 | James from Larkspur, CO | 1 Answer | 0 Votes

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  

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.

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)    

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 = 1 x intercepts at x = -6 and x = 5 y intercept at 2   y=