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Question
For f(x) = `(x - 1)/(3x + 1)`, write the expressions of `"f"(1/x) and 1/("f"(x))`
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Solution
f(x) = `(x - 1)/(3x + 1)`
`"f"(1/x) = (1/x - 1)/(3(1/x) + 1)`
`= ((1 - x)/x)/((3+x)/(x))`
`= (1 - x)/(3 + x)`
Also, `1/(f(x)) = 1/((x - 1)/(3x + 1)) = (3x + 1)/(x - 1)`
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