Help in Higher Maths?-Collection of common programming errors

mathematics Retrieving original web address
discoverer: anonymous if f(x) = 1-2x/ 3x state a suitable domain for f.

Find the inverse function f^-1(x). For what values of x is f^-1(x) undefined?

1. f(x) = (1 – 2x)/(3x) has domain ℝ – {0} (1 – 2x)/(3x) = y 1 – 2x = 3xy 3xy + 2x = 1 x(3y +2) = 1 x = 1/(3y + 2) swap x ↔ y y = 1/(3x + 2) f⁻¹(x) = 1/(3x + 2) which is undefined for 3x + 2 = 0 x = – 2/3

   look that – 2/3 was the horizontal asymptote of the original function.

2. Is this supposed to be f(x) = (1 – 2x)/3x? Your form is the same as 1 – 2/3 if x is any number except 0.

   Revise your statement and resubmit

Source of the problem： answers.yahoo

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Originally posted 2013-11-09 23:00:15.