SOLUTION: Find functions f and g so that f of g = H H (x)= square root of x^2+4 Please help with this problem

Question 823701: Find functions f and g so that f of g = H
H (x)= square root of x^2+4
Please help with this problem
Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!

CORRECTED COPY

Hi, there--

Sometimes there is more than one solution to these. Basically, you work backwards.

H(x) = sqrt(x^2 + 4) = f(g(x)) 

f(g(x)) = sqrt(g(x))

f(x) = sqrt(x)

g(x) = x^2 + 4



Hope this helps!
Mrs. Figgy

RELATED QUESTIONS
Please, help me with this problem. Given f(x)=5x^2, g(x)=3x+2, and h(x)= square root of... (answered by ikleyn)

CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM PLEASE: Find functions f and g so that... (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)

find the functions f and g so that f of g =H. H(x)=(6x+9)^4 please show work so i... (answered by stanbon)

can you please help me? Find functions f and g so that h(x) = (f ∘ g)(x).... (answered by solver91311)

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

instructions: Find functions f and g so that h(x)=f(g(x) problem:... (answered by richard1234)

Suppose that the functions g an h are defined as follows. f(x)=square root of 3x-5... (answered by josgarithmetic)

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