Answered: a. What is the domain of the function…

Math

Calculus

a. What is the domain of the function f(x)= (−4x) / √(5x−9)? b. What is the domain of the function f(x)= 5x / (19x−4)?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section: Chapter Questions

Problem 13T: Find the domain of the function f(x)=142xx2

See similar textbooks

Related questions

Q: 4 sin“ x cos° x dx

A: As per our guidelines we are supposed to answer only one question and rest of the question will be r...

Q: /' + y' = siny 1st order, 4th degree 2nd order, 1st degree O 4th order, 4th degree

A: Given: y'' + y'''' = siny

Q: sin xdx 5t car? x

Q: The number of women graduating from 4-yr colleges in a particular country grew from 1930, when 48,85...

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

Q: Which of the following is/are exact differential equations? d) (e2y-ycosxy)dx + (2xe2y-xcosxy+2y)dy...

A: Given : d) (e2y-ycosxy)dx + (2xe2y-xcosxy+2y)dy = 0 e) (t/y)dy + (1 + lny)dt = 0 f) (tany - 2)dx + (...

Q: dy Find dx if y = cos e*

Q: 2. The differential equation (4x'y'-6x'y-2r-3)dr +(2x*y-2x' ty = 0 is exact because aN

Q: L'Hopital's rule of 3*+1 2*+ x lim.

A: Given that: limx→+∞3x+12x+x

Q: Find the cosine of the angle between the two vectors: and Show all your work on your own paper; le...

Q: What are the projections of the point (6, –3, 5) on the coordinate planes? On the xy-plane: ( On the...

Q: Topic: Incentives ( Proof of integration formula for hyperbolic secant and hyperbolic cosecant) Prov...

A: To prove:-

Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate (in cm/...

A: Topic:- application of derivatives

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

Q: 11+11-12=

Q: Determine the radius of curvature of the plane's path (km). Round off your answer to the nearest 2 D...

A: Given that:

Q: The expression ā o (b o č) represents O a scalar something that does not make sense O a vector O a l...

A: I am attaching image so that you understand each and every step.

Q: EVALUATE DE y²/x(x+y) = -y'

Q: Consider the function (* if a 1 Evaluate the definite integral. f(x) dr

Q: er Une Converges, 1I SO its sum. If the series diverges, indicate that using the checkbox. NOTE: Ent...

A: follow next step

Q: 4 -2 2. a

Q: Determine C when x=y=0 (xy+ 2)dx = (x'y +x² + y? + (z²y + z? + y} +1) dy %3D

Q: Consider the given isosceles triangle of base 10 inches and side lengths x inches. If is increasing ...

Q: The differential equation x(3xy – 4y +6)tx+(x³ – 6x²y² -1]dy =0 is exact because ам ƏN D.4. ây

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: PROBLEM 3: f (x) = Vx + 2 at (-1,1)

A: slope of tangent of function y=f(x) at (a,b) is given as m=f'(a)=dydxx=a

Q: 3+6 b. (2xy-sin x) dx + (x-Cos yldy

A: Topic:- solution of differential equations

Q: 1. Rewrite the following improper integrals as a limit and then evalute them, or state that they div...

Q: y = sin(Ax + B)

A: We will find the Differential equation as following.

Q: Find the slope of the line tangent to the given curve at the indicated poin a. f(x) = 3x + 10 at (-3...

Q: dy sin x Find in y = dx 1+ cos x 2 2 2 cosʻ x+ sin´ x+cos x cosʻ x+ sin´x а. b. (1+ cos x) (1+ cos x...

A: Topic :- derivatives

Q: EXERCISE 2.3.6 Let f(x) = x and g(x) = 11r. Find Dlf(x) +g(x)]. %3D EXERCISE 2.3.7 Find D (x6-7x5 + ...

A: Given that: 6. f(x)=x-4 and g(x)=11x37. Dx(x6-7x5+13)8. f(x)=-9x2 ...

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

Q: Find the equations of the tangent line and normal line to the curve y = x3- 2x 1+ at the point (0, 1...

Q: Solve the problems. Show illustration. 1.A closed box, with a rectangular base,whose length is twice...

A: Note :- These are multiple questions and according to our compnay law we can do maximum one questio...

Q: Determine C when x=y=O (xy + x)dx = (x²y² + x² + y³ + 1)dy C=0 C=1 C=-1 None of the Choices C=2 C=-1...

Q: Find an equation of the plane containing all of the points below: P: (3, -2, -1), Q: (1, 1, 1), R: (...

Q: 3. lim (x-8) ギーー7

Q: The differential equation x(3xy-4y +6kdx+(r' – 6x²y² -1dy= 0 is exact because ÔM ON

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. lim 2. 7i 1 + ...

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the s...

Q: 4) lim 12x – 1| x--2 -2- -2+ f(x) f(x) -2.5 -1.5 -2.1 -1.9 -2.01 -1.99 -2.001 -1.999 -2.0001 -1.9999

A: 4)limx→-22x-1

Q: Solve the following problems below about derivative. Simplify your answers if necessary. 1. A three-...

Q: Evaluate if y = x² sinx + 3x*tanx dx a. 2xcosx + 12x3sec²x b. x?cosx + 2xsinx + 3x*sec2x+ 12x³tanx c...

Q: Find the limit. Enter DNE if the limit does not exist. lim (z,y) → (0,0) z2 + 15y2 Question Help: Me...

Q: Which of the following function/s is/are homogeneous? a) x3+x2y+x3 b) lnx-lny-ex/y c) ex d) 1/ (...

Q: According to the formal definition of the term "parallel," two vectors are said to be parallel to ea...

A: According to the formal definition of the term "parallel," two vectors are said to be parallel to ea...

Q: 3x 7. lim -4(2x+4)

Q: For the given p-series, identify p and determine whether the series converges. 4/3 k=1 p = Therefore...

Q: -f(x) = x2 + 1;c = 1 %3!

A: Calculate the value of limit at x=c and value of function at x=c. If both are equal then function is...

Question

a. What is the domain of the function f(x)= (−4x) / √(5x−9)?

b. What is the domain of the function f(x)= 5x / (19x−4)?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 11. f(x)=2x+1+6
To put the quadratic function f(x)=ax2+bx+c in standard form, we complete the ________________.
Find the domain of the function f(x)=142xx2
Why must we restrict the domain of a quadraticfunction when finding its inverse?
If the graph of a rational function has a removablediscontinuity, what must be true of the functionalrule?
A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the quadratic function of. h(x)=16t2+208t. When will the rocket reach its maximum height? What will be the maximum height?
How do you find the domain for the composition of two functions, fg ?
The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.