For some a, b, c ∈ N, let f(x) = ax - 3 and g(x) = x^b + c, x ∈ R. If (fog)^-1(x) = ((x-7)/2 )^1/3, then (fog)(ac) + (gof)(b) is equal to __________.

For some a, b, c ∈ N, let f(x) = ax - 3 and g(x) = x^b + c,… — JEE Main 2023 Mathematics PYQ

JEE Main 2023 · 25 Jan · Shift 1 · numerical answer

For some

a, b, c \in \mathbb{N}

, let

f(x) = ax - 3

and

g(x) = x^b + c

x \in \mathbb{R}

. If

(fog)^{-1}(x) = \left(\dfrac{x-7}{2}\right)^{1/3}

, then

(fog)(ac) + (gof)(b)

is equal to __________.

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Answer: 2039

[JEE Main 2023 · 25 Jan · Shift 1]

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