Let f(x) = x 3 , g(x) = sin x, and h(x) = x. a. Evaluate h(g(/2)).
Question:
Let f(x) = x3, g(x) = sin x, and h(x) = √x.
a. Evaluate h(g(π/2)).
b. Find h(f(x)).
c. Find f(g(h(x2)).
d. Find the domain of g ◦ f.
e. Find the range of f ◦ g.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (10 reviews)
a hg2 h1 1 b hfx hx 3 x 32 c fghx fgx fsinx sinx 3 d Th...View the full answer
Answered By
Sandhya Sharma
I hold M.Sc and M.Phil degrees in mathematics from CCS University, India and also have a MS degree in information management from Asian institute of technology, Bangkok, Thailand. I have worked at a international school in Bangkok as a IT teacher. Presently, I am working from home as a online Math/Statistics tutor. I have more than 10 years of online tutoring experience. My students have always excelled in their studies.
4.90+
119+ Reviews
214+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
Let f(x) = a1 sin x + a2 sin 2x + . . . + an, where a1, a2, . . .an, are real numbers and is a positive integer. If it is given that for all | f(x) < | sin x |, show that | a1 2a2 + . . . + na n | <...
-
Let f(x, y) = sin x sin y. (a) By visually examining the field F, guess where div F is positive and where it is negative. Then calculate div F to check on your guesses. (b) Calculate the flux of F...
-
Let f(x) = sin x and g(x) = x/[x] if x 0 and g(0) = 0. a) Find f() and g(E) for E = (0, ), E = [0, ], E = (-1, 1), and E = [-1, I]. Compare your answers to what Theorems 10.58, 10.61, and 10.62...
-
The California State Auditors Office assesses the fiscal health of the states cities and posts the information on Fiscal Health of California Cities (www.auditor.ca.gov/ bsa/cities_risk_index). The...
-
The note about debt included in the financial statements of Healdsburg Company for the year ended December 31, 2015 disclosed the following: Debt. The following table summarizes the long-term debt of...
-
As of June 30, Year 1, the bank statement showed an ending balance of $16,878. The unadjusted Cash account balance was $15,239. The following information is available: 1. Deposit in transit, $2,190....
-
For each of the following, (a) calculate the mean, standard deviation, and standard error of the mean for each Group and (b) construct a bar graph (assume the independent variable is condition and...
-
Oslo Companys industrial photo-finishing division, Rho, incurred the following costs and expenses in the last period. During the period, Rho produced 300,000 units of industrial photo prints, which...
-
Mrs Kebede S, consumes two good A and B, when Ke bede,s income increase from birr 4000 to 5000, the quantity of good A demanded by increase Kebede e by 35%. What conclusion do you draw from this.
-
1. After reviewing the earnings multiple approach and the needs approach, Cory and Tisha opt for the simpler earnings multiple approach to estimate their life insurance needs. As Cory explains, There...
-
The graph of f is shown in the figure. Graph the following functions. a. f(x + 1) b. 2 f(x - 1) c. -f(x/2) d. f(2(x - 1)) y = f(x)
-
Find functions f and g such that h = f g. a. h(x) = sin(x 2 + 1) b. h(x) = (x 2 - 4) -3 c. h(x) = e cos 2x
-
Describe the negative experiences of some American Indians during World War II
-
3. Social media simultaneously draws us together and pulls us apart; does the good outweigh the bad or vice versa? Discuss your views on whether the good outweighs the bad or vice versa.
-
Cathy, an Aboriginal woman, is being supported by staff after the loss of her home and her son in a bushfire. Explain how staff should communicate with Cathy to respond to her needs in relation to...
-
You have been asked to interview for a position in South Korea after graduating college with your business degree and being honorably discharged from the military. While you spent time in Spain and...
-
Sandi's parents have been divorced since she was five years old. She is now seven. She lives with her mother and visits her father every other weekend. He brings her to school on Monday mornings...
-
The principal at your school decides to retire, and several well-qualified teachers on the staff apply for the position. Mr. England has been teaching for four years and has his administrator's...
-
Why do some ERP projects fail?
-
Evaluate the line integral, where C is the given curve. C x 2 dx + y 2 dy, C consists of the arc of the circle x 2 + y 2 = 4 from (2, 0) to (0, 2) followed by the line segment from (0, 2) to (4, 3)
-
The graph of is shown. Evaluate each integral by interpreting it in terms of areas. a. b. c. d. f(x) dx f(x) dx f(x) dx f(x) dx 0 4 6
-
Evaluate the integral by interpreting it in terms of areas. a. b. c. L - ) dx (1 -
-
Use the result of Example 3 to evaluate f e**2 dx. *3
-
You have been asked to interview for a position in South Korea after graduating college with your business degree and being honorably discharged from the military. While you spent time in Spain and...
-
Cathy, an Aboriginal woman, is being supported by staff after the loss of her home and her son in a bushfire. Explain how staff should communicate with Cathy to respond to her needs in relation to...
-
3. Social media simultaneously draws us together and pulls us apart; does the good outweigh the bad or vice versa? Discuss your views on whether the good outweighs the bad or vice versa.
Study smarter with the SolutionInn App