# SOLUTION: Given h(x), find a pair of functions f and g such that h(x) = f<font face = "bookshelf symbol 7">g</font>g(x): h(x) = {{{sqrt( (7x^7+1)/(7x^7-1) ) }}}.

Algebra ->  Algebra  -> Functions -> SOLUTION: Given h(x), find a pair of functions f and g such that h(x) = f<font face = "bookshelf symbol 7">g</font>g(x): h(x) = {{{sqrt( (7x^7+1)/(7x^7-1) ) }}}.       Log On

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 Algebra: Functions, Domain, NOT graphing Solvers Lessons Answers archive Quiz In Depth

 Question 109091: Given h(x), find a pair of functions f and g such that h(x) = fgg(x): h(x) = . Answer by Edwin McCravy(8879)   (Show Source): You can put this solution on YOUR website!``` Given h(x), find a pair of functions f and g such that h(x) = fgg(x): h(x) = square root . Pick g(x) as any expression in x from the whole expression such that if you were to substitute u for that expression, there will be no x's left. ----------------- Suppose we pick u to be , then we replace both the 's by u and get g(x) is simply equal to what we picked u to be, that is, g(x) = To get f(x) we substitute x for u in and get So f(x) = g(x) = Checking: h(x) = fgg(x) = f(g(x)) = f() = . Edwin```