How to solve IPMAT 2022 - Quantitative Aptitude Question 26?

This question can be solved by applying the core concept explained in the solution above, followed by step-by-step calculation and elimination of options.

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This question tests fundamental concepts commonly asked in IIM IPMAT exams.

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IPMAT 2022 - Quantitative Aptitude Question 26

This is a detailed step-by-step solution for IPMAT 2022 - Quantitative Aptitude Question 26. Understand the concept, common mistakes, and expert tips to solve similar questions in IIM IPMAT exam.

IPMAT 2022 - Quantitative Aptitude

(81)^x + (81)^f(x) = 3
a^x > 0 for any value of x
So (81)^f(x) can take value (0, 3) based on which x will adjust itself to satisfy above relation & it can’t be equal to 3 as (81)^f(x)< 3
0 < (81)^f(x) < 3
3^−∞ < 3^4f(x) < 3¹
− ∞ < 4f(x) < 1
− ∞ < f(x) < 1/4
f(x) ∈ (− ∞, 0.25)

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