Question: a) If f (x) = 5, find the value of x. b) Show that ff (x) = x. f(x) = x/ x +3

a) If f−¹(x) = −5, find the value of x.

b) Show that ff−¹(x) = x.

f(x) = x/ x +3 , x ∈ R, x ≠ −3.

Step by Step Solution

★★★★★

3.45 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a We know that f1x represents the inverse function of fx Therefore if f1x 5 it mea... 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 Complete Pure Mathematics Questions!

Q:

A publisher of college textbooks conducted a study to relate profit per text y to cost of sales x over a 6-year period when its sales force (and sales costs) were growing rapidly. These...

Q:

Randy and Randi Randall are the parents of two preschool children. They started a business in 2018, making and installing window treatments. For 2018, the business generated $75,000 in sales and...

Q:

D Required Information The Chapter 8 Form worksheet is to be used to create your own worksheet version of the Review Problem in the text. Requirement 2: The company has just hired a new marketing...

Q:

I need your help tutors A large Pension Fund has made a $50m investment in a small boutique hedge fund which runs a long-only multi-asset class fund. The Trustees of the Pension Fund wish to assess...

Q:

Please answer all the following questions and show your work! 2 x2+9 I Consider the function f (x) = a) Find the domain of f(x). b) Find the range of x). 0) Find all x and y intercepts of f (x), if...

Q:

1. Which of the following is not a valid variable name? a. $rate b. Rate_value c. Rate d. Rate10 2. Which format specifier is used if a variable named gravity is declared of as a data type float? a....

Q:

Evaluate the following then choose the letter of the correct answer. Show your solution. A. Evaluate S (x2 + 5)3 2x dx B. Evaluate J 6x2x3 + 5 dx Solution: Solution: 1) Let u = Let u = 2x + 5 du =...

Q:

Answer all 10 questions 1. f(x) = X * + 5 find f-1(x) 2. Sketch : f(x) = ()* - 4 Show two points 3. A car depreciates 13% per year . Find the value of the car after 4 years. The initial value was...

Q:

Graph the following function and then find the specified limits When necessary state that the limit does not exist 1 f x 5 find lim f x and lim f x X 818 x 0 OA OA lim f x x48 Find lim f x Select the...

Q:

some easy calculus 1, questions \f(1 point) For what values of x in [0, 271'] does the graph of f(x) = x + 2 sin x have a horizontal tangent? List the values of x below. Separate multiple values with...

Q:

If a note receivable that was discounted at a bank is dishonored by its maker, what is the responsibility of the person or business discounting the note?

Q:

Suppose that a machine has 48-bit virtual addresses and 32-bit physical addresses. (a) If pages are 4 KB, how many entries are in the page table if it has only a single level? Explain. (b) Suppose...

Q:

On January 1 2025, Sterling Ltd entered into a six-year lease agreement with ANZ Finance Ltd for an item of equipment. There are to be six annual lease payments of $75,000, paid at the end of each...

Q:

(a) Both of the following lists have the same average of 50. Which one has the smaller SD, and why? No computations are necessary. p-968 (i) 50, 40, 60, 30, 70, 25, 75 (ii) 50, 40, 60, 30, 70, 25,...

Q:

Provide a point estimate and a 95% confidence interval for the prevalence of otorrhea at 2 weeks in the observation group? Otolaryngology Many children have tympanostomy tubes surgically inserted in...

Q:

Provide a point estimate and a 95% CI for the prevalence of otorrhea in the ear drop group? Otolaryngology Many children have tympanostomy tubes surgically inserted in their ears to reduce hearing...

Q:

What test can be used to compare the prevalence of otorrhea for the ear drop group vs. the observation group? State the hypotheses to be tested? Otolaryngology Many children have tympanostomy tubes...

Q:

Nov 3 4 6 8 Purchased merchandise on account from Moonlight Co., list price $85,000, trade discount 25%, terms FOB destination, 2/10, 1/30. Sold merchandise for cash, 837 680. The cost of the goods...

Q:

A group that takes the progression direction encrypted from the satellite wants to design a system to decode it. The length of the encrypted information is 3-bit, and if the number is greater than 5,...

Q:

If a firm pays dividends and other conditions are met, its cost of common equity may be calculated using: (select all that apply) O The dividend growth model O The yield to maturity on bonds O The...