Calculus (math)
posted by Karly
Write a formula for f^1 (x) if f(x) = (x+5)/(3x4) and state the domain of f1

Steve
y=(x+5)/(3x4)
3xy  4y = x + 5
x(3y1) = 4y+5
x = (4y+5)/(3y1)
so, f^1(x) = (4x+5)/(3x1)
The domain is all reals except x = 1/3
Note that 1/3 is the horizontal asymptote of f(x). Since f cannot take on the value of 1/3, that value is excluded from the domain of f^1(x)
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