If f is an odd function and g is an even function, show that the composite functions

Question:

If f is an odd function and g is an even function, show that the composite functions f ° g and g ° f are both even.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

See More Books

Question Posted: Jan 15, 2019 12:54 PM

See More Questions

Suppose f is an odd function and is differentiable everywhere. Prove that for every positive number, there exists a number c in (b, b) such that f(c) = f(b)/b.
Suppose (x) is an odd function and g(x) is an even function. Fill in the missing entries in the table. -2 -1 f(x) g(x) (f 8)(x) 0 -2 -2 2.
Suppose t is an odd function and let h = f o g. Is h always an odd function? What if f is odd? What if is f even?
Consider a dynamic array where the capacity doubles when additional space is needed and shrinks by 50% when the size falls below 1/4 capacity. What will be the amortized big-O of an append()...
What is WestJet's value proposition?
Use Black's (1975) approximation to calculate the price of an American call option with dividend given the following information: underlying stock price: $46 option exercise price: $43 risk-free...
Given $P(A)=0.30, P(B)=0.62$, and $P(A \cap B)=$ 0.12 , find (a) $P(A \cup B)$; (b) $P(\bar{A} \cap B)$; (c) $P(A \cap \bar{B})$; (d) $P(\bar{A} \cup \bar{B})$.
Jills Job Shop buys two parts (Tegdiws and Widgets) for use in its production system from two different suppliers. The parts are needed throughout the entire 52-week year. Tegdiws are used at a...
Reddy transfers land (fmv of $55,000 and basis of $15,000) for 45% of RBB Co and $10,000 cash. Bluey transfers a truck (fmv of $45,000 and basis of $50,000) for 45% of RBB Co. Bingo provides services...
Lang Enterprises is interested in measuring its overall cost of capital. Current investigation has gathered the following data. The firm is in the 40% tax bracket. Debt. The firm can raise an...
In problem, solve each equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places. log 16 x + log 4 x + log 2 x = 7
In problem, solve each equation. Express irrational solutions in exact form and as a decimal rounded to 3 decimal places. log 6 (x + 3) + log 6 (x + 4) = 1
The system of Fig. P5.3-8 is the same as that of Example 5.1, except that the sampler has been moved to the feedback path. This may occur for two reasons: (1) the sensor output is in sampled form and...
Concepts What is the difference between determining the break-even point in units and determining the required sales in units for a target net income? To determine the break-even point in units you...
A company manufactures several products that originate in a joint process and are separated at a split-off point. Which one of the following methods of joint-cost allocation would allocate the same...
Inventory costs are most likely to be shown as which type of data
K Internal control is a plan of organization and a system of procedures, implemented by company. A. external auditors; management B. external auditors; board of directors OC. internal auditors;...
What is 'audit risk', and discuss/analyze the components of audit risk. b. List the four (4) things involved in the initial audit planning and which should be done early in the audit.
Why does the centrifugal potential dominate the effective potential for small values of r?
Repeat the previous problem, but close the positions on September 20. Use the spreadsheet to find the profits for the possible stock prices on September 20. Generate a graph and use it to identify...
Problems 115 124. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus....
Is every odd function one-to-one? Explain.
If h(x) = (f g)(x), find h 1 in terms of f 1 and g 1 .
1. What is service-oriented architecture and how is it different from Web services architecture? 2. What is the role of the systems approach in the SDLC? 3. Briefly discuss the key phases of the SDLC...
1. Define the role of CRM in your own words. 2. What are the key differences between todays CRM and the early generation of CRMs? 3. How does CRM impact the companys bottom line or performance? 4....
What do you think are Thorndike's major contributions to learning theory and teaching? Share a time when you have observed Connectionism. How useful do you think the theory of Connectionism is in an...

If f is an odd function and g is an even function, show that the composite functions

Question:

Step by Step Answer:

Given that f is odd and g is even we know that fx fx and gx gx for all x in the domain ...View the full answer

Precalculus

Students also viewed these Mathematics questions