Given that Domain of the rational function is all real numbers. So the rational function should not contain denominator part.

Question

Given that Domain of the rational function is all real numbers. So the rational function should not contain denominator part.

Question

Answers (1)

Relevant Questions

asked 2021-03-06

Construct a rational function whose domain is all real numbers. Provide evidence as to why the domain of your rational function is all real numbers.

See answers (1)

asked 2021-01-31

True or False. The domain of every rational function is the set of all real numbers.

See answers (1)

asked 2021-05-16

Consider the curves in the first quadrant that have equationsy=Aexp(7x), where A is a positive constant. Different valuesof A give different curves. The curves form a family,F. Let P=(6,6). Let C be the number of the family Fthat goes through P.
A. Let y=f(x) be the equation of C. Find f(x).
B. Find the slope at P of the tangent to C.
C. A curve D is a perpendicular to C at P. What is the slope of thetangent to D at the point P?
D. Give a formula g(y) for the slope at (x,y) of the member of Fthat goes through (x,y). The formula should not involve A orx.
E. A curve which at each of its points is perpendicular to themember of the family F that goes through that point is called anorthogonal trajectory of F. Each orthogonal trajectory to Fsatisfies the differential equation dy/dx = -1/g(y), where g(y) isthe answer to part D.
Find a function of h(y) such that x=h(y) is the equation of theorthogonal trajectory to F that passes through the point P.

See answers (1)

asked 2020-10-20

The function \(\displaystyle{f{{\left({x}\right)}}}={x}\frac{{\left({64}-{x}^{{2}}\right)}^{{1}}}{{2}}\) satisfies the hypotheses of Rolle's Theorem on the interval [-8,8]. Find all values of that satisfy the conclusion of the theorem.
a.) + 1, AND -1
b.) \(\displaystyle+{4}\sqrt{{{2}}}{\quad\text{and}\quad}-{4}\sqrt{{{2}}}\)
c.) \(\displaystyle{4}\sqrt{{{2}}}\)
d.) 1
My answer. The intervals do match and equal zero so Rolles theorem can work.
Second I found the derivative maybe thats where I can't solve this problem.
The derivative that I got was \(\displaystyle{64}-{x}^{{2}}+\frac{{x}}{\sqrt{{{64}-{x}^{{2}}}}}\) maybe i did wrong on the simplifying. I at least tried hopefully some one can explain as much as possible with every single step because I can figure out the algebra part.

See answers (1)

asked 2020-11-27

prove that for all rational numbers r and s, rs is rational

See answers (1)

asked 2020-11-01

7. Which of the following imply that the real number x must be rational? I. x, x7are both rational II. x, x are both rational II. x5, x are both rational
O I, Il only
O I, IlIl only
O II, Il only
O Il only
O None of these combinations Tagged in

See answers (1)

asked 2020-11-08

Use the Rational Zero Theorem to list all possible rational zeros for the function \(f(x) = x^3 + x^2 - 4x - 4\).

See answers (1)

asked 2021-02-21

Form a polynomial function whose real zeros and degree are given. Answers will vary depending on the choice of a leading coefficient. Zeros: -1, multiplicity 1, 3, multiplicity 2, degree 3

See answers (1)

asked 2021-04-20

A 1.3 kg toaster is not plugged in. The coefficient ofstatic friction between the toaster and a horizontal countertop is 0.35. To make the toaster start moving, you carelesslypull on its electric cord.
PART A: For the cord tension to beas small as possible, you should pull at what angle above thehorizontal?
PART B: With this angle, how largemust the tension be?

See answers (1)

asked 2020-11-01

Explain how the sets of numbers (counting, whole, integer, rational, irrationals, reals) are related to each other.

See answers (1)

Answer 1

So the required rational function only contains numerator part.
The required rational function is in the form of
\(f(x)=Kx(x-a)(x-b)\)
where k, a, and b are constants.

Didn’t find what you are looking for?

Given that Domain of the rational function is all real numbers. So the rational function should not contain denominator part.

Given that Domain of the rational function is all real numbers. So the rational function should not contain denominator part.

Answers (1)

Relevant Questions