Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
Help with writing composite functions?
given f(x) = 3 + x^2 and g(x)= √ x write the composite functions f(g(x)) and g(f(x))
for f(g(x)) i have 3 + X and for g(f(x)) i have 3 + x^2 are these correct?
2 Answers
- vahucelLv 69 years agoFavorite Answer
a) to find f(g(x) first write the function g(x) inside... it is f(sqrt(x)... now use the function f(x) and get
f(g(x) = f( sqrt(x) = 3 + (sqrt(x))^2 = 3 + x OK!
b) To find g(f(x) first write the function f(x) inside... it is g(3 + x^2)... now use the function g(x) and get
g(f(x) = g( 3 + x^2) = sqrt(3+x^2) Ok! ... here your answer is missing the square root.
- Anonymous4 years ago
If the question is y = sqrt(2e^x) (you probably did no longer upload parenthesis so i'm assuming) then the indoors function may well be 2e^x, and the outer function is the sqrt function. So use the chain rule: f '(g(x)) * g'(x) The by-made from sqrt(x) is a million/2sqrt(x) and the by-made from 2e^x continues to be 2e^x. So.... a million/((2sqrt(2e^x))*2e^x) is your answer.
