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True/False Question :

Let $f:\left [ a,b \right ]\rightarrow \left [ c,d \right ]$ and $g:\left [ c,d \right ]\rightarrow \mathbb{R}$ be Riemann integrable functions defined on the closed intervals $\left [ a,b \right ]$ and $\left [ c,d \right ]$ respectively. Then the composite $g\circ f$ is also Riemann integrable.

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