SOLUTION: Let f(x)=3x+1, h(x)=3x2+3x+10. Find g(x) such that f(g(x)) =h(x)

SOLUTION: Let f(x)=3x+1, h(x)=3x2+3x+10. Find g(x) such that f(g(x)) =h(x)

Algebra.Com

Question 856479: Let f(x)=3x+1, h(x)=3x2+3x+10. Find g(x) such that f(g(x)) =h(x)
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
f(g(x))=h(x)
3g(x)+1=3x2+3x+10
3g(x)=3x2+3x+9
g(x)=x2+x+3

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

Find f (x) and g(x) such that h(x) = ( f o g)(x) = cube root of (3x +1) . f(x) =... (answered by josgarithmetic)

find f(x) and g(x) such that h(x) = (fog)(x) h(x) =... (answered by MathLover1)

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)

Let f(x) = (x^2 + 3x + 1), g(x) = (3x + 1) and h(x) = 3x + (2/x). Find... (answered by MathLover1)

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

Find functions f and g so that the composition of f and g is H. H(x) = |4 - 3x^2|... (answered by josgarithmetic)

f(x)=x+5 g(x)=x^2-4x+5 h(x)=3x^2-2x+5 find (f+g)(x) find (f*h)(x) find f[g(2)] (answered by solver91311)

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