SOLUTION: find function f such that g(x)= 1/x-5 h=g o f, and h(x)=1/(x^2-5) Thank you!

SOLUTION: find function f such that g(x)= 1/x-5 h=g o f, and h(x)=1/(x^2-5) Thank you!

Algebra.Com

Question 122560: find function f such that g(x)= 1/x-5
h=g o f, and h(x)=1/(x^2-5)
Thank you!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find function f such that g(x)= 1/x-5
h=g o f, and h(x)=1/(x^2-5)
------------------------------
h(x) = gof(x) = g[f(x)] = 1/[f(x)-5)]
----
But h(x) = 1/(x^2-5)
----------
1/[f(x)-5] = 1/[x^2-5]
f(x)-5 = x^2-5
f(x) = x^2
================
Cheers,
Stan H.
RELATED QUESTIONS
Find f and g so that h(x)= (f o g)(x). Neither function may be the identity function f(x) (answered by josgarithmetic)

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)

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

Find f o g o h f(x)= x^5 + 2 g(x)= x - 8 h(x)= sqrt x (answered by solver91311)

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

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

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)

If g(x) = 2x + 1 and h(x) = 4x^2 + 4x +7, find a function f such that... (answered by oscargut)