Question

If f(x) and g(x) are equivalent, what must a be?
[f(x) and g(x) in the picture]​

Answer 1

`(1)/( (1)/(3)x - 2 ) + 5 = (a)/(x - 6) + 5 \\ \\ (a)/(x - 6) = (1)/( (1)/(3)x - 2 ) + 5 - 5 \\ \\(a)/(x - 6) = (1)/( (1)/(3)x - 2 ) \\ \\ a \: ((1)/(3)x - 2) = x - 6 \\ \\ a = (x - 6)/((1)/(3)x - 2) \\ \\ a = (x - 6)/( (x - 6)/(3) ) \\ \\ a = (x - 6) / (x - 6)/(3) \\ \\ a = (x - 6) * ( (3)/(x - 6) ) \\ \\ a = 3`

I hope I helped you^_^