Question: Let f (a) = 23 + 6 and g (a) = Vac - 6. Find rules for fog and go f to show that f

Let f (a) = 23 + 6 and g (a) = Vac - 6. Find rules for fog and go f to show that f and g are inverses. Here are some options to submit your answer: Option 1: Type your response and use the equation editor on the toolbar (" va "symbol) if needed. Option 2: Do you work on a sheet of paper and upload a picture or video that explains your process. Click here for step-by step directions on how to do this

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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 Mathematics Questions!

Rex and Felix are the sole shareholders of the Dogs and Cats Corporation (DCC). After several years of operations, they decided to liquidate the corporation and operate the business as a partnership....

I need help with my Compositions of Functions assignment. Question 1 Operations on Functions Using Tables and Graphs of Values Use the functions f(x) and g() to evaluate the expressions below. Write...

SHORT ANSWER, with work required to be shown, as indicated. 22. Let f(x) =x -6 and g(x) = vx+5. (a) Find (5 ) (-4) . Show work. (b) Find the domain of the quotient function . Explain. g 23. Points...

Written Assignment 3 Answer all assigned exercises, and show all work. An asterisk indicates an exercise for which a graph pool is provided in Module Details. 1. For the points P and Q, find (a) the...

MATH 115 Precalculus Fall, 2016, V1.1 MATH 115 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a...

Sodium 24 has a half-life of approximately 15 hours. Consider a sample of 100 milligrams. a. Write an equation to determine the number of milligrams remaining after t days. Show all work. b. How many...

Model 3: Rational Inequalities First, recall an important fact about inequalities. Consider the true inequality, 5 > 3- f 14. Multiply both sides or the inequality by 2. Is it still true? __ \" 15....

Composition of Functions Information For questions 1 - 3, use the tables below to evaluate the composite functions. X f(x) X 9(x) -1 1 2 O 5 S 2 -2 N 6 -10 10 51 Question 1 g (f(0)) Not yet answered...

Model 2: The Identity Function and Inverses There is a special function called the identity function, which we denote by id. This function always outputs exactly what was input: id 12. Evaluate the...

61. Which, if any, are parallel? 62. Which, if any, are perpendicular? > Synthesis 63. Let p(a) represent the number of pounds of grass seed required to seed a lawn with area a. Let c(s) represent...

$$explain clearly... 2.4 Tangent Lines and Implicit Differentiation 1. At what point on the curve y = sinh r does the tangent line have a slope of 1? 2. Find the point(s) on the graph y = a where the...

Under what condition would firms return on net operating assets (RNOA) be equal to its return on operating assets (ROOA)?

Selected income statement information for Colgate Palmolive Company, a U.S, consumer products manufacturer, appears below for the years ended December 31, 2007, 2006, and 2005. Colgate reports all...

Find a parametrization o f the portion o f the plane x + y + z = 4 that i s contained inside the following. a . Inside the cylinder x 2 + y 2 = 9 b . Inside the cylinder y 2 + z 2 = 9 a . What i s...

A uniform solid disk of mass 3.00 kg and radius 0.200 m rotates about a fixed axis perpendicular to its face. If the angular frequency of rotation is 6.00 rad/s, calculate the angular momentum of the...

One end of a uniform 4.00-m-long rod of weight Fg is supported by a cable. The other end rests against the wall, where it is held by friction, as in Figure P12.23. The coefficient of static friction...

A 1.50-kg object is held 1.20 m above a relaxed mass less vertical spring with a force constant of 320 N/m. The object is dropped onto the spring. (a) How far does it compress the spring? (b) What...

Many machines employ cams for various purposes, such as opening and closing valves. In Figure P10.29, the cam is a circular disk rotating on a shaft that does not pass through the center of the disk....

In Figure P10.43 the sliding block has a mass of 0.850 kg, the counterweight has a mass of 0.420 kg, and the pulley is a hollow cylinder with a mass of 0.350 kg, an inner radius of 0.020 0 m, and an...

A retailer sells a certain brand's male coats during the winter season. The retailer buys from the wholesaler at a wholesale price $80 per coat, and he sells at in-season retail price $200 per coat....

3. Jeffrey T. Polzer has stated that sharing self-assessments and appraisals of one another through 360-degree feedback can help team members achieve interpersonal congruence. Do you agree with his...

a. Did you express your anger verbally? Physically?

1. Many inspirational speakers attempt to take the audience on an emotional journey. They try to erase cynicism and complacency and get employees fired up about their jobs. Do you think organizations...