Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

NDA 2012

Exam: NDA
Year: 2012
Subject: Mathematics
Chapter: Functions

NDA 2012 · Mathematics · Functions

Let f: R arrow R be a function whose inverse is (x+5)/(3) . What is...

Let

f: \mathrm{R} \rightarrow \mathrm{R}

be a function whose inverse is

\frac{x+5}{3}

. What is

f(x)

equal to?

Options

A $f(x)=3 x+5$
B $f(x)=3 x-5$
C $f(x)=5 x-3$
D $f(x)$ does not exist

Correct answer

B. $f(x)=3 x-5$

Step-by-step solution

The correct answer is option B.

Practice Functions on Quantrex Academy →

More from Functions

Consider the following statements in respect of the function f(x)=x in the interval… NDA 2026 Passage: Consider the curves y=x^2 and y=2|x| . Question: What is the number of points of… NDA 2026 If 2f(x)+f(1-x)=x , then what is f(x) equal to ? NDA 2026 For the following two (02) items: Consider the function f(x) = 1 - [3] (x-1)^2 . What is… NDA 2025 Consider the following for the two (02) items that follow: Let the function y = (1 - x)^… NDA 2025 For the following two (02) items: Consider the function f(x) = 10^x - 10^ -x 10^x + 10^… NDA 2025 Consider the following for the two (02) items that follow: Let the curve f(x) = |x - 3| .… NDA 2025 Consider the following for the two (02) items that follow: Let f = \ (1,1), (2,4), (3,7)… NDA 2025 For the following two (02) items: Consider the function f(x) = (x)/(1 - x) (x > 0 , x ≠ 1… NDA 2025 Consider the following for the two (02) items that follow: The function f(x) satisfies… NDA 2025 Consider the following for the two (02) items that follow: The function f(x) satisfies… NDA 2025 Consider the following for the two (02) items that follow: A function f is such that… NDA 2025 For the following two (02) items: Consider the function f(x) = (x)/(1 - x) (x > 0 , x ≠ 1… NDA 2025 For the following two (02) items: Consider the function f(x) = 10^x - 10^ -x 10^x + 10^… NDA 2025 Consider the following for the two (02) items that follow: Let f = \ (1,1), (2,4), (3,7)… NDA 2025 Consider the following for the two (02) items that follow: A function f is such that… NDA 2025 Full Functions list Functions JEE Maths PYQs JEE Mathematics PYQs All NDA PYQs