Start your trial now! First week only $4.99!*arrow_forward*

Question

Show that if f : A → B and g : B → C are onto, then gof : A → C is also onto.

Tagged in

Math

Algebra

Find answers to questions asked by students like you.

Q: how many miles will a person run during a 10-kilometer race?

A: Click to see the answer

Q: You want to frame a collage of pictures with a 9-ft strip of wood. What dimensions will help you max...

A: Let us assume that the frame is rectangular and the length be x and width be y. The perimeter of the...

Q: The volume V of a cone is given by the formula V=1/3•3.14•r^2•h. Solve the formula for h, and then c...

A: We are given that the volume V of a cone is given by the formula V=1/3•3.14•r^2•h. We need to solve ...

Q: The lengths of the sides of a triangle are in the ratio 4:3:5. Find the lengths of the sides if the ...

A: Let the first side of the triangle be ‘4x’.Let the second side of the triangle be ‘3x’.Let the third...

Q: Show that the function f : N → N, given by f(x) = 2x, is one-one but not onto.

A: If f(x1) ≠ f(x2) then we get:

Q: Show that an onto function f : {1, 2, 3} → {1, 2, 3} is always one-one.

A: Given, f : {1, 2, 3} → {1, 2, 3} is an onto function.

Q: √-4 √-9 I need step by step instructions.

A: Given the product is

Q: Solve the following logarithmic equation: log2(x − 2) + log2(x + 1) = 2

A: Given,

Q: Write the standard equation for the circle

A: For a circle the standard equation is given by the formula as.

Q: Prove the given theorem: Any square matrix can be expressed as the sum of a symmetric and askew symm...

A: Consider a square matrix A. Then by definition of transpose of a matrix, the transpose of matrix A i...

Q: Please show step by step how to solve for x: 8/3x + 1/3x = 3x + 16/3 + 8/3x

A: Given:

Q: A ball is shot straight upward, with its height, in feet, after t seconds given by the function f (t...

A: A ball is shot straight upward, with its height, in feet, after t seconds given by the function f (t...

Q: Solve the following systems of equations by Cramer's rule. (b) (а) fа1х, + а2х, — b; lа21х, + а22X2 ...

A: Click to see the answer

Q: Quelu ate each eocpression 17 19 C-2)4 21 (-3)5 23-2x34 each eapression 25 -2x5A 12-3 -4(9-8+ C-7) (...

A: Click to see the answer

Q: if 20% of vehicles are blue and 1/3 of blue vehicles are trucks what fraction of blue vehicles are t...

A: 20% of vehicles are blue Convert 20% into fraction.

Q: A social agency provides emergency food and shelter to two groups of clients. The first group has x ...

A: Part (a):

Q: I am needing help with question 20. I do not understand it.

A: Given:The length of the rectangle is twice the width and perimeter of the rectangle is 30cm.Let L be...

Q: Solve for the indicated variable. P= a+b+c for c.

A: Given that P= a+b+cWe have to solve for c. That means we need c alone on a side

Q: a rectangular piece of metal is 5 inches longer than it is wide. squares with sides 1 inch long are ...

A: A rectangular piece of metal is 5 inches longer than it is wide. squares with sides 1 inch long are ...

Q: On a steep mountain road the elevation dropped at the rate of 9 feet per 60 feet. Using signed numb...

A: Here we have to find the rate at which the road dropped per

Q: Show that every plane through the origin in R³ may be identified with the null space of an element i...

A: Click to see the answer

Q: Write the equation of each circle in standard form. The coordinates of the center and the radius for...

A: Consider the circle one with center coordinates (h,k) = (-2, 1) and find the radius of the circle by...

Q: Hey can I get the bottom part answers D-k

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3 (d,e,f). Please resubmit the questi...

Q: Hi, want to get from H down answered please.

A: Given,

Q: Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam. How old are th...

A: Given: Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam. How old...

Q: 6y(5y-6)-5(5y-6)^2 factor

A: Factor the given expression.

Q: Let V be an inner product space, and suppose that x and y are orthogonal elements of V. Prove that |...

A: Given:

Q: What is the Measure of angle DBE and angle ABD?

A: It is known that, sum of angles on a straight line equals 180 degrees.Therefore, from the figure it ...

Q: use the graph to express solution set in interval notation x+7>4

A: Given inequality is,

Q: Divide. 6836,723 The answer is R. er in each of the answer boxes.

A: Given,

Q: Prove that the composition of unitary [orthogonal] operators is unitary [orthogonal].

A: Let consider U and V are the unitary operators.

Q: The present ages of Deklerk and Saniya are in the ratio 3:4. Five years from now, the ratio of their...

A: Let the present age of Deklerk is 3x year and the present age of Saniya is 4x year.

Q: Solve simultaneously for x and y2 + y= -2x-2x2+ 8xy + 42= y

A: Click to see the answer

Q: Write the sentence as an equation. Let the variable x represent the number. Seven less than 6 times ...

A: Write the sentence as an equation. Let the variable x represent the number.Seven less than 6 times a...

Q: C of linear equations has unique solution, no solution, or infinitely many solutions? In case there ...

A: Check the system of linear equations has unique solution, no solution, or infinitely many solutions.

Q: 3. Consider the line y = 6. The slope of the line is:

A: Note:For a linear function (equation of line) y = mx + c, the slope is m and the y intercept is c.He...

Q: y=6/5 + 1/2

A: Given expression is

Q: Find the quotient and write it in lowest terms. 12/13 divided by 4

A: Given,

Q: 10.Consider the following linear equation x + % 1. 3. = 12 It is desired to remove the fractions fro...

A: Consider the provided linear equation,

Q: James invested half of his money in land, a tenth in stock, and a twentieth in saving bonds. Then, h...

A: Let x be the total amount saved or invested.

Q: Jenn can rent a moving truck for either $99 with unlimited mileage or $49 plus 80¢ per mile. For wha...

A: Let x be the number of miles.

Q: When a number in increased by 20%, the result is the same when it is decreased by 10% plus 12. What ...

A: Given that, a number is increased by 20% the result is the same when it is decreased by 10% plus 12....

Q: Solve the following for the indicated variable. C = 2πr for r (Circumference of a circle)

A: Given circumference of a circle is

Q: If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?

A: Write the possible order, when the matrix has 18 elements.

Q: The equation 5x2+10x+4=0 has two solutions A and B where A<B A= B=

A: Click to see the answer

Q: Show that the relation R in R defined as R = {(a, b) : a ≤ b}, is reflexive andtransitive but not sy...

A: Given, the relation R in R defined as R = {(a, b) : a ≤ b}.

Q: You have 156 feet of fencing to enclose a rectangular garden. You want the garden to be 5 times as l...

A: Consider the given question,Let width of the rectangular garden = x feetAccording to the question,Le...