SOLUTION: find the functions f and g so that f of g =H. H(x)=(6x+9)^4 please show work so i understand this better. thank you

Question 644705: find the functions f and g so that f of g =H. H(x)=(6x+9)^4
please show work so i understand this better. thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find the functions f and g so that f of g =H. H(x)=(6x+9)^4
-------
H(x) = fog(x)
Notice that g is the 1st function to work on "x".
Let g(x) = 6x+9
----
Notice that f does its work on g(x)
Let f(x) = x^4
----
Then H(x) = fog(x) = f[6x+9] = (6x+9)^4
==============================================
Cheers,
Stan H.
RELATED QUESTIONS
find functions f and g so that f o g=H. H(x)=(6x+6)^8. (answered by ReadingBoosters)

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

H(x) = |4 - 3x2|Find functions f and g so that the composition of f and g is... (answered by fractalier)

Find functions f and g so that f of g = H H (x)= square root of x^2+4 Please help with... (answered by math-vortex)

Find functions f and g so that h(x) = (f ∘ g)(x). h(x) = (6x - 14)8 (answered by stanbon)

Express the given function h as a composition of two functions f and g so that h(x)=(f o... (answered by josgarithmetic)

Find functions f and g so that f . g = H. Find functions f and g so that f g = H.... (answered by tommyt3rd)

find the functions f and g so that h(x)=(f*g)(x)... (answered by Fombitz)

Show work please. consider the functions f(x)=4x-16 and g(x)= x/4 +4. Find f(g(x)) and... (answered by josgarithmetic)