IPMAT Indore 2021 (SA) PYQs

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IPMAT Indore 2021

Algebra

>

Functions

Medium

If a function $f(a) = max (a, 0)$ then the smallest integer value of $x$ for which the equation $f(x - 3) + 2f(x + 1) = 8$ holds true is _______.

Entered answer:

✅ Correct Answer: 3

Related questions:

IPMAT Indore 2019

f(x) = \dfrac{x^3 - 5x^2 - 8x}{3}

IPMAT Indore 2019

A real-valued function

f

satisfies the relation

f(x)f(y) = f(2xy + 3) + 3f(x + y) - 3f(y) + 6y

, for all real numbers

x

y

, then the value of

f(8)

IPMAT Indore 2020

f(x) = x^2 + \log_3 x

g(y) = 2y + f(y)

, then the value of

g(3)