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Question
Answer the following:
Find (f ° f) (x) if f(x) = `(2x + 1)/(3x - 2)`
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Solution
f(x) = `(2x + 1)/(3x - 2)`
f(f(x)) = `"f"((2x + 1)/(3x - 2))`
= `(2((2x + 1)/(3x - 2)) + 1)/(3((2x + 1)/(3x - 2)) - 2)`
= `(4x + 2 + 3x - 2)/(6x + 3 -6x + 4)`
= `(7x)/7`
= x
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