Question 113806
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

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f[g(x)] = f[(9x+2)/8]

= [8[9x+2]/8 -2]/9

= [9x +2-2]/9

= [9x]/9 

= x
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g[f(x)] = g[(8x-2)/9]

= [9[(8x-2)/9]+2]/8

= [8x-2+2]/8

= x
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Therefor f and g are inverse to one another.
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Cheers,
Stan H.