SOLUTION: Please help me with the following. Thank you in advance. 1)verify that f and g are inverses of each other: f(x)= (8x/9)-(2/9) g(x)= (9x/8)+(1/4)

Question 113806: Please help me with the following. Thank you in advance.
1)verify that f and g are inverses of each other:
f(x)= (8x/9)-(2/9)
g(x)= (9x/8)+(1/4)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1)verify that f and g are inverses of each other:
f(x)= (8x/9)-(2/9) = (8x-2)/9
g(x)= (9x/8)+(1/4) = (9x+2)/8
---------------------
f[g(x)] = f[(9x+2)/8]
= [8[9x+2]/8 -2]/9
= [9x +2-2]/9
= [9x]/9
= x
=========================
g[f(x)] = g[(8x-2)/9]
= [9[(8x-2)/9]+2]/8
= [8x-2+2]/8
= x
======================
Therefor f and g are inverse to one another.
======================
Cheers,
Stan H.
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