If f(x) = frac{2x+3}{3x-2},x neq frac{2}{3},t | vedclass

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(B) Given $f(x) = \frac{2x+3}{3x-2}$.We need to find $(f \circ f)(x) = f(f(x))$.$f(f(x)) = \frac{2 \left( \frac{2x+3}{3x-2} \right) + 3}{3 \left( \fra

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an identity function

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(B) Given $f(x) = \frac{2x+3}{3x-2}$.We need to find $(f \circ f)(x) = f(f(x))$.$f(f(x)) = \frac{2 \left( \frac{2x+3}{3x-2} \right) + 3}{3 \left( \frac{2x+3}{3x-2} \right) - 2}$Multiplying the numerator and denominator by $(3x-2)$:$= \frac{2(2x+3) + 3(3x-2)}{3(2x+3) - 2(3x-2)}$$= \frac{4x + 6 + 9x - 6}{6x + 9 - 6x + 4}$$= \frac{13x}{13} = x$Since $(f \circ f)(x) = x$,the function is an identity function.

If $f(x) = \frac{2x+3}{3x-2}$,$x \neq \frac{2}{3}$,then the function $f \circ f$ is

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