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JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1
If f(x)=xb+3,g(x)=ax+cf(x)=x^{b}+3, g(x)=a x+c. If (g(f(x)))−1=(x−72)13(g(f(x)))^{-1}=\left(\frac{x-7}{2}\right)^{\frac{1}{3}}, then fog(ac)+gof(b)f o g(a c)+g o f(b) is:
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Correct option: A
189
Option A (189) is correct because after finding the values of a, b, and c, we can calculate f o g(ac) + g o f(b) which equals 189.

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