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Functions question

2023 · 25 Jan · Shift 1 · Q42

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Functions
2023 · 25 Jan · Shift 1 · Q42

Functions question

2023 · 25 Jan · Shift 1 · Q42

JEE MainMathematicsFunctionsNumerical+4 / −1

For some a, b, c

\in\mathbb{N}

, let

f(x) = ax - 3

and

\mathrm{g(x)=x^b+c,x\in\mathbb{R}}

. If

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

, then

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

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

View written solutionFree

Correct answer: 2039

Let

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