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Question

P Take a Test Ebelin Dutan Google Chrome https:// www.mathxl.com /Student Player Test aspx?testld-135423054& center win yes MATT 190-25 Shell Calculus I mer 2016 Quiz: Chapter 1 Quiz This Question 1 p 3 of 9 (4 complete Find possible choices for outer and inner functions f and g such that the given function h equals g. Give the domain of h h(x Choose the correct pair of functions below. g(X)- x 15 O B. f(x)- yx, g (x) x4 15 O C. f(x) x4 15, g(x) Vx O D. f(x) VX 15, g(x) x4 The domain of the function h is Simplify your answer. Type your answer in interval notation.) Click to select your answer(s). O Ebelin Dutan 6/27/16 8:52 PM Time Remaining: 01:51:28 Submit Quiz This Quiz 9 pts possible 8:53 PM 6/27/2016

Explanation / Answer

f(x) = sqrt (x)
g(x) = x^4+15
fog(x) = sqrt (x^4+15)
Answer: B

Finding domain:
Anything under square root should be greater than 0
x^4+15>=0
Above condition is true for all x
So,
the domain of the function h is R (all real numbers)