75 Answered Questions for the topic Rational Functions

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

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 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

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?

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

Find a 3rd degree polynomial with roots 6 and -i with constant coefficient -24.

A. f(x)=4x^3-24x^2+24x-24 B. f(x)=4x^3-24x^2+4x-24 C. f(x)=x^3-6x^2+x-24 D. f(x)=-4x^3+24x^2+4x-24 E. None of the above.

State the x coordinate of any holes in the function.

f(x)= 8x^2-16x          -----------          5x^2-20   A. 0 B. 2 C. 5 D. -2 E. None of the above

State the x-coordinate of any holes in the function.

f(x)=(x+3)(6-x)         ------------         (x-2)(x+3)   A. -3 B. 3 C. 2 D. 0 E. None of the above

Rational functions

"x2-4"/"x2-4x+3" Given this fraction, find the A. Domain B. Vertical asymptotes C.Horizontal asymptote D. X and Y intercepts E. the range   Please walk me through how to find these... more

A person will burn 16 calories in 15 minutes to produce 268.05 watts of power. how much power would be produced in 30 minutes if 32 calories were burned

I'm really bad at math and I'm super bad with word problems.. Can someone please help!

match the description with the appropriate rational function. the y-axis is its vertical asymptotes.

1. match the description with the appropriate rational function. the y-axis is its vertical asymptotes.

For this rational function f, f(x) 3x-6/x-1. determine where possible

1. For this rational function f, f(x) 3x-6/x-1. determine where possible   i. The domain of f   ii. x and y-intercept of f in coordinate form.   iii. The vertical asymptote(s) and oblique... more

Find an equation of a rational function f that satisfies the given conditions.

vertical asymptotes: x = −2, x = 0 horizontal asymptote: y = 0 x-intercept: 1; f(2)=1

Write a rational function (f) that has the specified characteristics. vertical asymptote: x=-2, slant asymptote: y=x+1, zero: x=2

 I've tried everything but only find that the answer is not possible. There may be a hole.   Write a rational function (f) that has the specified characteristics. vertical asymptote:... more

f(x)= 2x+22/x2+9

for the following rational function, state the restrictions on variable, if any, by finding all values of the variable that are not in the domain of f. write answer with ≠.

f(x)= x2-64/x2-2x-48.

for the following rational function, state the restrictions on variable, if any, by finding all values of the variable that are not in the domain of f. write answer with ≠.

What function gives the time (t) it takes the rider to finish the race in terms of (s)?

In a bike race, a rider covers a 5-mi flat stretch of road at a speed of (s) mi/h. She then doubles her speed down a hill 1 mi long. Finally, she reduces her downhill speed by 12 mi/h as she rides... more

x+8/x^2-4x

Find the domain of the rational function.   Problem: x+8/x^2-4x  

Consider the rational function f(x) = 2x²-9x-5 ÷ 3x³+ 3x²-6x.

Without a calculator, identify, if possible, the vertical asymptotes, horizontal asymptotes, slant asymptotes, x-intercept(s), and y-intercept(s). Then find extra points. State the domain and range... more

It takes you 4 hours to paint. your friend takes 10 hrs. working together how long would it take?

we are working using rational fractions and this makes no sense to me. 

Find an equation of a rational function f that satisfies the given conditions.

Given Conditions:   vertical asymptotes: x = −1, x = 0 horizontal asymptote: y = 0 x-intercept: 3; f(

Ratical and Rational Equations

(4/X^2+X-6)-(1/X^2-4)=(2/X^2+5X+6)   Please help me solve

About how much time did the first part of the trip take?

Treveon paddled 35 mies downstream in his boat. The speed of the water current was 4 miles per hour. Mark paddled 13 miles upstream in his boat. The speed of the water current was 4 miles per hour.... more

Add or subtract. Then simplify. If a denominator has three or more facotrs (Other then monomials.) Leave it in factored form.

Add or subtract. Then simplify. If a denominator has three or more facotrs (Other then monomials.) Leave it in factored form.   3x-1/x^2+2x-3  -  x+4/x^2-9

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