Question

Hi, I'm struggling to understand this whole problem. I did attempt to do #4 (not sure if it's right?), but as for #1-3 I have no idea where to even start. Thank you for your help!

This is the problems:

Let y(x) = ax^{2} + bx + c. The function y(x) is not invertible, however, like the function f(x) = x^{2} we can make some restrictions on its domain to make it invertible. Hint: Think of the example (x^{2}) given above.

- Find the largest possible domain where y(x) is invertible
- Find its inverse function using this domain
- Check that it is indeed the inverse function by verifying the identity y−1(y(x)) =y(y−1(x)) = x
- Show lim
_{x→3}x^{2}−3x+1 = 1 using the definition of limit, that is, using ε and δ.

Step 1

Given function is

Step 2

Invertible function: a function is said to be an invertible function if inverse of that function is also a function (one to one relationship)

Step 3

the inverse of a function *f* is a functio...

Tagged in

Q: Evaluate the function f(x) at the given numbers (correct to six decimal places) Зе^ - 3- Зх x x2 1, ...

A: Evaluate the given function as follows.

Q: A small radio transmitter broadcasts in a 42 mile radius. If you drive along a straight line from a ...

A: Given,Radius = 42 miles So, the equation of the circlex2 + y2 = 422 …… (1)Transmitter at t...

Q: Find a formula for the linear function f whose graph contains (−3,6) and (7,−29).

A: To compute the linear function f whose graph contains ( -3, 6) and (7,-29), It is enough to compute ...

Q: For the function f whose graph is given, state the following. lim f(x) (a) lim f(x) X o (b) lim f(x)...

A: (a) As x tends to infinity, please look at the rightmost part of the graph. The graph tends to run i...

Q: Could someone help me with this question? I am completely stuck and I do not know where to start.

A: Let the given function is,

Q: #37

A: Given Function

Q: Simplify the expression completely: (x2/5)2

A: Consider the given expression.

Q: #29

A: Consider the given integration.

Q: Give a clear and detailed solution of the intergral of e^-ct/m 2)

A: You want intergral of e^-ct/m. I am assumig the variable of integration is "t". That is, the task in...

Sorry about that. What wasn’t helpful?