Question

Given the following, find the function of g:

f(x) = 1 (f ) x+7
-- __ (x) = -----
x g x^2-x

g(x) = ?

Answer 1

g(x) = x- 1 / x +7

Answer 2

can you show me how you got that?

Answer 3

divide both sides by f(x)
to get 1 / g(x) = x+7/ x -1 now just take the reciprocal

Answer 4

u r welcome :D

Answer 5

f(x)=1/x

f(x) x+7 x+7
--- = ------ = ------ so if we sign g(x) with y we get
g(x) x*2 - x x(x-1)


1/x x+7 X-1
--- = ------ ----- (x(x-1))/X = Y(X+7) ----- X-1= Y(X+7) ---- Y= ----
y x(x-1) X+7

x-1
g(x)= -----
x+7