SOLUTION: Express the function y=sqrtx^2+2 as a composition y=f(g(x)) of two simpler functions y=f(u) and u=g(x).
f(u) =
g(x) =
Algebra.Com
Question 911259: Express the function y=sqrtx^2+2 as a composition y=f(g(x)) of two simpler functions y=f(u) and u=g(x).
f(u) =
g(x) =
Answer by ichigo449(30) (Show Source): You can put this solution on YOUR website!
Let u = x
Then f(u) = abs(u) + 2, where abs(x) is the absolute value function.
If, instead the 2 isn't added later then the decomp is:
u = x^2 + 2
f(u) = sqrt(u)
RELATED QUESTIONS
Express the function y= sqrtx^2+5 as a composition y=f(g(x)) of two simpler functions... (answered by richard1234)
Express the function y = 9 (x - 4)^{4} as a composition y = f(g(x)) of two simpler... (answered by josgarithmetic)
Express the given function h as a composition of two functions f and g so that... (answered by Boreal)
Write the function as a composition of two functions?
y=(4-x^2)^2/9
Choose the... (answered by josgarithmetic)
Write the function as a composition of two functions?
y=(4-x^2)^2/9
Choose the... (answered by ewatrrr)
help please! Let f(x)=x+2
write the function f(x)= |x+2| as a composition of the... (answered by funmath)
Express the given function as a composite of functions f and g such that
y= f(g(x).
(answered by stanbon)
Can you explain the Composition of Functions
(g o f)(2)
(f o... (answered by stanbon)
Find the composition function f(g(x))
f(u)=3u^2+3u-4 and g(x)=x+1
f(g(x)) =?... (answered by thesvw,Theo)