Question

The set of real x for which f(g(x)) = g(f(x)), where f(x) = x + 2 and g(x) = 3/x is ?

Answer 1

you want inverses eh....

Answer 2

or does this look more like a "system" of equations ??

Answer 3

f(g(x)) = (3/x) +2

g(f(x)) = 3/(x+2)

Answer 4

(3+2x)/x = 3/(x+2)

(3+2x)(x+2) = 3x

3x +6 +2x^2 +4 = 3x

2x^2 +10 = 0

2(x^2 +5) = 0

x^2 + 5 = 0

x^2 = -5 aint possible

no real solutions....

Answer 5

should been:

3x +6 +2x^2 +4x = 3x forgot the "x" on the 4

2x^2 +4x +6 = 0

x^2 +2x +3 = 0

still aint got no "real" values....

Answer 6

thank you so much!