JEE MAIN - Mathematics Hindi (2023 - 25th January Morning Shift - No. 19)

किसी $$a, \mathrm{~b}, \mathrm{c} \in \mathbb{N}$$ के लिए, माना $$f(x)=a x-3$$ तथा $$\mathrm{g}(x)=x^{\mathrm{b}}+\mathrm{c}, x \in \mathbb{R}$$. हैं । यदि $$(f \circ g)^{-1}(x)=\left(\frac{x-7}{2}\right)^{1 / 3}$$ है, तो $$(f \circ g)(a \mathrm{c})+(g \circ f)(\mathrm{b})$$ बराबर _____________ है ।
Answer
2039

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