In Exercises 39 through 42, first obtain the composite functions f(g(x)) and g(f(x)), and then find all
Question:
In Exercises 39 through 42, first obtain the composite functions f(g(x)) and g(f(x)), and then find all numbers x (if any) such that f(g(x)) = g(f(x)).
Transcribed Image Text:
f(x)=√x, g(x) = 1 - 3x
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (5 reviews)
Squaring both sides again Since squaring both sides can introduce ex...View the full answer
Answered By
Nyron Beeput
I am an active educator and professional tutor with substantial experience in Biology and General Science. The past two years I have been tutoring online intensively with high school and college students. I have been teaching for four years and this experience has helped me to hone skills such as patience, dedication and flexibility. I work at the pace of my students and ensure that they understand.
My method of using real life examples that my students can relate to has helped them grasp concepts more readily. I also help students learn how to apply their knowledge and they appreciate that very much.
4.00+
1+ Reviews
10+ Question Solved
Related Book For
Calculus For Business, Economics And The Social And Life Sciences
ISBN: 9780073532387
11th Brief Edition
Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price
Question Posted:
Students also viewed these Mathematics questions
-
In Exercises 39 through 42, first obtain the composite functions f(g(x)) and g(f(x)), and then find all numbers x (if any) such that f(g(x)) = g(f(x)). 1 f(x) = === 8(x X g(x) = 4- x 2 + x
-
In Exercises 39 through 42, first obtain the composite functions f(g(x)) and g(f(x)), and then find all numbers x (if any) such that f(g(x)) = g(f(x)). f(x) 2x + 3 x-1' g(x) x + 3 x-2
-
In Exercises 39 through 42, first obtain the composite functions f(g(x)) and g(f(x)), and then find all numbers x (if any) such that f(g(x)) = g(f(x)). f(x) = x + 1, g(x) = 1 - x
-
Alistair bought a house on 1 April 2000 for 125,000 and occupied the entire house as his principal private residence until 1 November 2008. As from that date, he rented out two rooms (comprising...
-
A. Set up a spreadsheet to illustrate the effects of changing economic assumptions on the demand for Sun best orange juice. Use the demand function to calculate demand based on three different...
-
The consumption function, first developed by John Maynard Keynes, captures one of the key relationships in economics. It expresses consumption as a function of disposable income, where disposable...
-
With reference to Exercise 11.50, test \(ho=0\) against \(ho eq 0\) at \(\alpha=0.05\). Data From Exercise 11.50 11.50 The following data pertain to the processing speed (GHz) of a computer and the...
-
The following transactions pertain to 2015, the first year of operations of Tanjin Company. All inventory was started and completed during the accounting period. All transactions were cash...
-
Cooking pots have loose-fitting lids to allow air to escape while food is being heated. If a 1.5-L saucepan is heated from 22C to 100C, any gas in the pan will increase in volume by what percentage?
-
In Exercises 29 through 34, find the points of intersection (if any) of the given pair of curves and draw the graphs. 3y 2x = 5 and y + 3x = 9
-
In Exercises 35 through 38, the graph of a function f(x) is given. In each case find: (a) The y intercept. (b) All x intercepts. (c) The largest value of f(x) and the value(s) of x for which it...
-
Find an equation of the tangent line to the graph of the function at the given point. y = x cosh x , (1, 1)
-
Answering what if questions with respect to an economic analysis is an example of which step in the systematic economic analysis technique? a. Identifying the investment alternatives b. Defining the...
-
Which option cannot fill in the blank to print Clean socks? A. var wash = new Wash(); B. var wash = new Wash(); C. Wash wash = new Wash(); D. Wash wash = new Wash(); E. Wash wash = new Wash(); F. All...
-
On January 1, 20X2, Paisley Corporation issued \($2\),000,000 face amount of 6% bonds. These bonds are dated January 1, and mature in 6 years, with semiannual interest payments. The market rate of...
-
The following defines a function that calculates an approximation of the square root of a number, starting with an approximate answer (approx), within the specified tolerance (tol). 1. What...
-
Jane is self-employed. Her recent adjusted trading profits/(losses) are: Jane has other in come of 10,000 per annum. Assuming that the trading loss is carried forward and set against future trading...
-
In a perfectly competitive market, each firm maximizes its profit by choosing only the quantity to produce. Regardless of whether the firm makes an economic profit or incurs an economic loss, the...
-
If the joint cost function for two products is C(x, y) = xy2 + 1 dollars (a) Find the marginal cost (function) with respect to x. (b) Find the marginal cost with respect to y.
-
List the ordered pairs obtained from each equation, given {-2, - 1, 0, 1, 2, 3} as the domain. Graph each set of ordered pairs. Give the range. 2y - x = 5
-
Which of the following rules define y as a function of x? X 9 4 1 0 1 4 9 y 32 1 0 -1 -2 -3
-
List the ordered pairs obtained from each equation, given {-2, - 1, 0, 1, 2, 3} as the domain. Graph each set of ordered pairs. Give the range. 6x - y = -1
-
Suppose that the demand function for q units of a product priced at Sp per unit is given by P 400(q+1) (q+2) Find the rate of change of price with respect to the number of units.
-
2 Find b and c so that y = 8x + bx + c has vertex (4, 7). b C=
-
Solve for C: logo+log(x+3)=4 T=
Study smarter with the SolutionInn App