Question: The function f : x x 2 2 is defined for the domain x 0. a. Find f 1 (x) and state

The function f : x ↦ x2 − 2 is defined for the domain x ≥ 0.

a. Find f−1(x) and state the domain of f−1.

b. On the same diagram, sketch the graphs of f and f−1.

Step by Step Solution

★★★★★

3.50 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a To find f1x we solve for x in the equation y x2 2 y x2 2 y ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Cambridge International AS & A Level Mathematics Probability & Statistics Questions!

Q:

Given that each of these functions is defined for the domain - 3 x 4, find the range of a. f: x 5 - 2x b. g: x |5 - 2x| c. h: x 5 - |2x|

Q:

Sketch the graphs of f and g in the same coordinate plane. 1. f (x) = 7x, g(x) = log7 x 2. f (x) = 5x, g(x) = log5 x 3. f (x) = 6x, g(x) = log6 x 4. f (x) = 10x, g(x) = log x

Q:

Sketch the graphs of f and g in the same coordinate plane. (Include two full periods.) 1. f (x) = sin x g (x) = sin x/3 2. f (x) = sin x g (x) = 4 sinx

Q:

The function f: x 1 + cos 2x is defined for the domain 0 x /2. i) Solve the equation 2f(x) = 3. ii) Sketch the graph of y = f(x). iii) State the range of the function f. iv) State the domain and...

Q:

Provide solutions.to the following questions. There are two types of individuals: high ability (type H) and low ability (type L). Regardless of their level of education, the lifetime productivity of...

Q:

9. Circle all the relations below that have a domain of {4, 2. 0: 1: 4} A. {(0, _4) (_4,2)(0,0)(3,1)(4,4)} B. ((1, 4) (4,2)(3.0)(2.1)(6.4)} c,{(_2,0)(0,1)(4,1)(4,5)(1,4)} D. {(3, 4)...

Q:

Need help with these problems Thanks in Advance!! 1. Find the critical point(s) of the function f (x) =12x-x2. 2. The function defined by f (x) = x) -3x -2 has a relative minimum at X = 3. What is...

Q:

Q1. Let x = . Compute x Ax for the following matrices: LX2 a A = 2 1 1 4. 1 -3 b ) A = L-3 2Examine whether the following quadratic forms are positive definite, negative definite, or indefinite: (a)...

Q:

\fQuestions: Answer: a) State the domain and range for the parent function f (x) = 2*. (2 marks) b) Which affected the domain, if any? In what way did they affect the domain? (1 mark) c) Which...

Q:

Which is these tables accurately represents the following function? Question Which of these tables accurately represents the following function? f (x) = 3x -2 Select the correct answer below: X -1 0...

Q:

In its first month of operations, Splish Brothers Inc. made three purchases of merchandise in the following sequence: (1) 230 units at $8, (2) 330 units at $10, and (3) 430 units at $11. Assuming...

Q:

2000-12 What is the confidence interval for the population mean?

Q:

12. When CreateWindowEx is called, how is the windows appearance information transmitted to the function?

Q:

10.9 Data measured during tests of a centrifugal pump driven at 3000 rpm are The flow rate is 65 gpm and the torque applied to the pump shaft is 4.75 lbf ft. The pump efficiency is 75 percent, and...

Q:

Given that T ~ Geo(0.32), find: a. P(T = 3) b. P(T 6) c. P(T > 7) .

Q:

The random variable Y follows a geometric distribution. Given that P(Y = 1) = 0.2, find E(Y ).

Q:

A family has booked a long holiday in Skragness, where the probability of rain on any particular day is 0.3. Find the probability that: a. The first day of rain is on the third day of their holiday...

Q:

3 You are evaluating a stock return. You are expecting the stock return to change based on economy status. You are expecting that the probability of recession is 2 0 % , normal is 3 0 % and boom is 5...

Q:

please reply asapppp THIS IS FOR BAT4M PLEASE HELP. IT'S ABOUT VERTICAL AND HORIZONTAL ACQUISITION AND I HAVE ONE QUESTION ABOUT MARKET VALUE. SO 1. The market value depends on three factors. Which...

Q:

Santa Klaus Toys just paid a dividend of $1.70 per share. The required return is 9.5 percent and the perpetual dividend growth rate is 2.6 percent. What price should this stock sell for five years...