Question: Restrict the domain of the function f so that the function is one-to-one and has an inverse function. Then find the inverse function f-1. State

Restrict the domain of the function f so that the function is one-to-one and has an inverse function. Then find the inverse function f-1. State the domains and ranges of f and f-1. Explain your results.
1. f(x) = |x + 2|
2. f(x) = |x - 5|

Step by Step Solution

★★★★★

3.50 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

1 fx x 2 Domain of f x 2 range of f y 0 fx x 2 y x 2 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1383-M-C-P-E(736).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Give a full answer. Consider the facts, including what is given and what can be presumed. Then apply the rules to the facts. Submit your answer as an attached file. Please review the Assignment...

Find the domain of each function. 15. (a) f(x)= (b) f(x) 1 + e* 16. (a) g(i) = sin(e") (b) g(1) - VI - 2"

Find the domain of each function. f(x) = In( x + 1 f(x)

Find the domain of each function. g(x) = In 1 x-5

Course Hero 5.2 HW - Inverse Functions O X D C cuesta.instructure.com/courses/36001/assignments/592886?module_item_id=1513622 3 E Dashboard Keen Shop Zy zyBooks - Build Co... \\ Vimm's Lair: Preser.....

Can someone help me out with this please? Exploration 5 will hand you a function. Walk around the room and pair up with someone. You choose a number and plug that n into their function. Then they...

Using only a graphing calculator, determine whether the functions are inverses of each other. a. f(x) = 3((x - 3.2) / 1.4) , g(x) = 1.4x3 + 3.2 b. f (x) = (2x - 5) / (4x + 7), g(x) = (7x - 4) / (5x +...

What can be said about the domain of the function f o g where f ( y ) = 4/( y -2)and g ( x ) = 5/( 3x -1) Express it in terms of a union of intervals of real numbers. Go...

the question is attached below 1.What can be said about the domain of the function f o gwherey) = and x} = 3%? Express it in terms of a union of intervals of real numbers. Go to...

What can be said about the domain of the function f \circ g where f(y)= \frac{4}{y-2) and g(x)= \frac{5}{3x-1}? Express it in terms of a union of intervals of real numbers. Go to...

Question 24 The function f(x) =x3 - 3 is one-to-one. Find an equation for f1(x), the inverse function. (Type an expression for the inverse. Use integers or fractions for any nuGiven f(x) = x +7 and...

1. For each problem, explain or show your reasoning, a. 160 is what percentage of 40? b. 40 is 160% of what number? 110416016

(a) Show all the distinct states for an electron in the N shell of hydrogen. Include all four quantum numbers. (b) For an f-electron in the N shell, what is the largest possible orbital angular...

Which of the following statements regarding interest rates is TRUE? The interest rate in the money market is the short - term real interest rate. As interest rates increase, the price of an existing...

The following data were collected on nonconfor-mances for a period of 10 days: a. On what day is the proportion of nonconformances largest? Smallest? b. What are the LCL and UCL? c. Are there any...

The following data were collected on nonconformances for a period of 10 days: a. On what day is the proportion of nonconformances largest? Smallest? b. What are the LCL and UCL? c. Are there any...

Suppose that EBV is considering a $10M Series A investment in Newco. EBV proposes to structure the investment as 6M shares of convertible preferred stock (CP) plus RP with $4M APP. The employees of...

The following data were collected on nonconformances for a period of 10 days: a. On what day is the proportion of nonconformances largest? Smallest? b. What are the LCL and UCL? c. Are there any...

On July 15, 2018, Cottonwood Industries sold a patent and equipment to Roquemore Corporation for $750,000 and $325,000, respectively. The book value of the patent and equipment on the date of sale...

e.g. (8.8)). A point of tangency is found between a union's indifference curve and the labour demand curve. Assuming that the utility function of the representative

Left-tailed test z = -1.55 = 0.05 Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject H0 for the level of significance .

Right-tailed test z = 2.46 = 0.01 Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject H0 for the level of significance .

Arnold Inc. is considering the purchase of a new truck. It can choose between two brands. Brand A: buying the new truck for $120,000. This brand-A truck lasts for (7 + A) years (A: the remainder of...

Lush Gardens Co. bought a new truck for $52,000. It paid $5,200 of this amount as a down payment and financed the balance at 5.44% compounded semi-annually. If the company makes payments of $1,700 at...

roducing three different scenarios. Under a p essimistic scenario the property would produce a B IRRp0f8%; a most-likely scenario produces a BTIRRp of 12%. The investor assigns the pessimistic...