Question

Are f and g both necessarily onto, if gof is onto?

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Algebra

Other

Related Algebra Q&A

Find answers to questions asked by students like you.

Q: A bacteria culture starts with 10 00 bacteria and the number doubles every 40 minutes.(a) Find a for...

A: A bacteria culture starts with 10 00 bacteria and the number doubles every 40 minutes so theformula ...

Q: A commercial airplane flying with a speed of 700 mi/h is detected 1000 miles away with a radar. Half...

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: A vehicle traveled 200 miles on 14_1/6 gallons of gas. How many miles per gallon did it get?

A: It is given that the vehicle travels at a speed of

Q: The top of a box is a rectangle with a perimeter of 72 inches. If the box is 8 inches high, what dim...

A: Given:The box (or cuboid) has the height 8 inches(i.e. h = 8 in.) and the perimeter of the top of bo...

Q: By using the elimination method

A: According to the given information it is required to solve the given set of equations using eliminat...

Q: what is -2x +5x-9=3(x-4)-5

A: Given:-2x +5x-9=3(x-4)-5

Q: (−a+1)(5a+6)

A: To determine the product of the factors.

Q: column 1 with CtS each AB match in equrcuent 1 6. 9 - ) 9-6 not egualent to c comy

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: How is u/u-7 simplified using only positive exponents? Using the quotient law wouldn't it be u1+7 = ...

A: Given,

Q: If a matrix has 24 elements, what are the possible orders it can have? What if it has 13 elements?

A: Part (a):If a matrix has 24 elements, so: Number of rows * Number of columns = 24 The possibilities ...

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: Solve the following equation: e2x− 2ex = 15

A: We have given the equation e2x− 2ex = 15

Q: Draw the graph of the following logarithmic function, and analyze it completely: f(x) = −2 log3(3 − ...

A: To sketch the graph of the function and analyse it completely.

Q: The ratio of base to height of a equilateral triangle is 3:4. If the area of the triangle is 6, what...

A: The ratio of base to height of a equilateral triangle is always 2:√3 and never 3:4.

Q: If a−b=3 and a3−b3=117 then find the absolute value of a+b.

A: Given that a−b=3 and a3−b3=117.

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: 7. Tom and Mary have invested in a joint partnership. The total value of the investment is $240 000....

A: Consider the assumptions to be made.

Q: The sum of two numbers is 16. The difference is 4. What are the two numbers?

A: Let x and y be the required numbers.

Q: Let β ={x1,...,xn} be a subset of Fn containing n distinct vectors, and let B denote the element of ...

A: Assume that β ={x1,...,xn}  is a basis for Fn.Let B denote the element of Mnxn (F) whose jth column ...

Q: What does the Associative law of multiplication states? Explain giving example.

A: Click to see the answer

Q: A person buys 28 bottles of orange juice for a party. The store clerk offers cardboard carrying case...

A: The person needs five cases. The first four cases will have 6 bottles each and the last case will ha...

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: Prove that the Greatest Integer Function f : R → R, given by f(x) = [x], is neither one-one nor onto...

A: Given: f : R → R defined by f(x) = [x] where [x] denotes the greatest integer less than or equal to ...

Q: Cynthia Besch wants to buy a rug for a room that is 20ft wide and 27 ft long. she wants to leave a u...

A: The dimensions of the room are given by,Length = 27 ft.Width = 20 ft.And Cynthia can afford to buy 3...

Q: How much of a 70% orange juice drink must be mixed with 44 gallons of a 20% orange juice drink to ob...

A: Let x gallons of 70% orange juice drink must be mixed with 44 gallons of a 20% orange juice drink to...

Q: A trust fund has $ 30,000 that must be invested in two different types of bonds. The first bond pays...

A: Here the total investment is $30,000. Let the investment on the first bond is x, which pays 5% inter...

Q: Let T be a linear operator on an inner product space V. Let U1= T + T* and U2 = TT*. Prove that U1 =...

A: If T is an operator in an inner product space V over the field F together with an inner product, i.e...

Q: TravelEz sells dollars at a rate of ($1.40)/(1 euro) and buys dollars at a rate of ($1.80)/(1 euro)....

A: TravelEz sells 1.40 dollars for 1 euro. At the end of the trip, Sophie exchanged 40 euros to dollars...

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: Why do -5 and 20 (in the finally result) not further reduce?

A: Given:

Q: Label the following statements as being true or false. a) An inner product is a scalar-valued functi...

A: Hey since there are multiple subparts the first four is answered. If any other subpart is required k...

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: Show that the function f : R → R,defined as f(x) = x2 , is neither one-one nor onto.

A: We will show this by counter examples.Let x= 2 and -2 Then f(2)= 2^2 = 4 and f(-2)= (-2)^2 = 4 This ...

Q: Jenna and her friend, Khalil, are having a contest to see who can save the most money. Jenna has alr...

A: Let x represent the number of weeks and y represent the total amount of money saved.

Q: Scientific notation is a common way of writing very large numbers. In everyday life we see this when...

A: a.Find the free storage left in the phone.

Q: Suppose you roll a red number cube and a yellow number cube. Find P(red 2, yellow 2) and the probabi...

A: There are two cubes, with red colour and yellow colour.

Q: Consider the line x = 5. The slope of this line is: 2.

A: Given:x = 5x – 5 =0Let f (x) = x – 5

Q: If you are going 379 miles what is that in kilometers? and if you can go the speed of 65mph, how man...

A: Click to see the answer