SOLUTION: please explain: Find f(x) and g(x) such that h(x) = (f ∘ g)(x). h(x)=√(12x^2+21) Thank you.

Question 1140383: please explain:
Find f(x) and g(x) such that h(x) = (f ∘ g)(x). h(x)=√(12x^2+21)
Thank you.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

Choose , and then .

h(x) may have other composed possibilities.

Another way:
g(x)=x^2 and then f(x)=sqrt(12x+21) so composing f of g would be replace x with g=x^2, and small simplification step.
RELATED QUESTIONS
find function f such that g(x)= 1/x-5 h=g o f, and h(x)=1/(x^2-5) Thank... (answered by stanbon)

Given the functions, {{{ f(x) = x-4 }}} and {{{ g(x)=(x+2)/(x-2) }}}, determine an... (answered by josgarithmetic)

Find functions f and g such that f(g(x))=h(x) a) h(x)=3x^2+7 b) h(x)=|2x+9| c)... (answered by stanbon)

Find f(x) and g(x) such that h(x)=(f o g)(x)... (answered by jim_thompson5910)

Find f(x) and g(x) such that h(x) = (f o g)(x). (h)x =... (answered by Techpriest)

let h(x)=x^2-9. find two functions F and G such that f o g=... (answered by stanbon)

Find functions f and g such that h = f ◦ g h(x) = sin... (answered by richard1234,math-vortex)

I need help. Find functions f and g so that h(x)= (f*g)(x). {{{h(x)=6/x^2+8}}}. (answered by edjones)

Find f(x) and g(x) such that h(x) = (fog)(x) h(x)= sqrt(-81x^2+71) (answered by stanbon,josgarithmetic)