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

Question

Consider functions f and g such that composite gof is defined and is one-

one. Are f and g both necessarily one-one.

Tagged in

Math

Algebra

Find answers to questions asked by students like you.

Q: I need help solving this question

A: Given:

Q: I am a two-digit number whose digit in the tenth place is 1 less than twice the digit in the ones pl...

A: Assume that the digit at ones place be ‘x’ and the digit at tens place be ‘y’. the given information...

Q: Let V be an inner product space, and let W be a finite-dimensional subspace of V. If x $ W, prove th...

A: Click to see the answer

Q: In each of the following cases, state whether the function is one-one, onto or bijective. Justify yo...

A: Given:

Q: Does the given pair of linear equation has unique solution, no solution, orinfinitely many solutions...

A: Compare both the equation with general equation.Consider equation (1),

Q: Solve. 3x - 12 + 9x = 3(6x - 6) +3

A: Given:3x - 12 + 9x = 3(6x - 6) +3

Q: The number of pupils in school A is equal to half the number of pupils in school B. The ratio of the...

A: The number of pupils in school A is equal to half the number of pupils in school B. The ratio of the...

Q: What is mzABC? 55° m ZABD = 180° %3D MZABC = equation: %3D

A: Given figure,

Q: A man selling computer parts realizes that when he sells 16 computer parts, his earning is $1700. Wh...

A: When he sells 16 computer parts, his earning is $1700. When he sells 56 computer parts, his earning ...

Q: In physics, Hooke's law states that (within certain limits) there is a linear relation between the l...

A: From the given table we try to estimate a line (using linear regression formula).

Q: The simplest way to examine a graphed linear equation is when it is in slope-intercept form. Even an...

A: If we know the slope intercept form y=mx+b then we know the y intercept and the slope.Slope= m and y...

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

A: Given circumference of a circle is

Q: Many gas stations give a discount for using cash instead of a credit card. A gas station gives a dis...

A: Let the cost for 1 gallon be x.

Q: compute 5-9+10-2

A: The given expression is

Q: What is the diameter of a unit circle

A: The radius of a unit circle is 1.

Q: x2-5x-36=0

A: To determine the solution of the quadratic equation.

Q: During the first quarter of 2015, Plains All American Pipeline L.P. (PAA) stock cost $50 per share a...

A: Let ‘x’ be the number of shares of PAA stock.Let ‘y’ be the number of shares of TOT stock.

Q: The bookstore marked some notepads down from $3.003.00 but still kept the price over $2.002.00. It...

A: Let x be the price of each notepad and y be the number of notepads sold.Given, the price of each not...

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: The present age of Jacob’s father is three times that of Jacob. After 5 years, sum of their ages wou...

A: Given The present age of Jacob’s father is three times that of Jacob. After 5 years, sum of their ag...

Q: At recess, the boys and girls in a class tossed a beanbag. On average, the boys tossed it 11.2 feet....

A: Given,On average, the boys tossed it 11.2 feet. On average, the girls tossed it 8.8 feet. There were...

Q: Let A and B be sets. Show that f : A × B → B × A such that f(a, b) = ...

A: Given:

Q: Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describi...

A: To determine the integer equation describing the pay check.

Q: Explain Column matrix along with an example.

A: A column matrix is a list of elements which is written in a column. It can also be called as a colum...

Q: Solve for the value of 'x' : 2(3x - 7) + 4 (3 x + 2) = 6 (5 x + 9 ) + 3

A: Consider the given equation.

Q: Label the following statements as being true or false. (a) If two rows of A are identical, then det(...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: A company buys and retails baseball caps. The total cost function is linear, the total cost for 200 ...

A: Given:

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: The cost to produce a book is 1200 to get started plus 9 dollars per book.The book sells for 15 doll...

A: Let the number of books printed be N.Then the cost is

Q: {x|x is an even whole number less than 6}

A: To find:x such that x is an even whole number less than 6.

Q: 7 workers can make 210 pairs of cup in 6 days. How many workers are required to make 450 pairs of cu...

A: Given, 7 workers can make 210 pairs of cup in 6 days.Therefore, Number of cups made by one worker pe...

Q: Consider the following information regarding the number of men and women workers in three factories ...

A: Represent in 3 x 2 Matrix form.

Q: The sum of two positive numbers is 4 and the sum of their cubes is 28. What is the product of the tw...

A: Click to see the answer

Q: In April 2011, Consolidated Edison (ED) stock cost $50 per share and yielded 5% per year in dividend...

A: Let there are x ED shares and y NGG shares.ED share and NGG share both costs $50 eachYou have inves...

Q: Twice a number plus the square root of the number is twelve minus the square root of the number.

A: According to the given information:Let the number be ‘x’So, according to given question:

Q: Suppose that f is a linear function with slope 4 and that f(4) = 4. Find the equation for f. (Use x ...

A: Given : Suppose that f is a linear function with slope 4 and that f(4) = 4.

Q: Baking a tray of blueberry muffins takes 4 cups of milk and 3 cups of wheat flour. A tray of pumpkin...

A: Let blueberry muffins be x and the wheat flour be y. Baking a tray of blueberry muffins takes 4 cups...

Q: A new company president is said to have caused the company "to do a 180." Before the new president, ...

A: As we are aware that ‘to do a 180’ means turning around or taking a U-turn. In corporate world it wo...

Q: Solve the equation in the attached image:

A: Given,

Q: A father is three times as old as his son, and his daughter is 3 years younger than the son. If the ...

A: given A father is three times as old as his son, and his daughter is 3 years younger than the son. I...

Q: For each of the following matrices A, find an orthogonal or unitary matrix P and a diagonal matrix D...

A: Hey, since there are multiple subparts posted, we will answer the first three subparts. If you want ...

Q: what is the measure of angle LKO if the measure of angle NKO is 25 degrees?

A: It is given that the measure of the angle,

Q: 2/3 x +5 = 1/4x

A: Consider the given equation.

Q: Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} asR = {(a, b) : b = a + 1} is ref...

A: Given, relation R defined in the set {1, 2, 3, 4, 5, 6} as R = {(a, b) : b = a + 1}.

Q: solve : log(7x+2)=log(x-9)

A: Since both sides have log, so cancel log from both sides.

Q: The sum of 3 consecutive even numbers is 78. Find the numbers.

A: Given: The sum of 3 consecutive even numbers is 78. Find the numbers.

Q: please give me a step by step solution for the following problem: 6(-9)-(-8)-(-7)(4)+11

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: Show that the relation R in the set Z of integers given by R = {(a, b) : 2 divides a– b} is an equiv...

A: Given, the relation R in the set Z of integers given by R = {(a, b) : 2 divides a– b}.

Q: Evaluate the determinant of the following matrices in the manner indica (a) Expand -1 0 -3 2 3 along...

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any ...