Skip to content
We use only essential cookies to keep you signed in and remember your preferences. See our Cookie Policy.
TestStop
MocksPracticeResourcesIndiaBlogPricing
Sign in
Questions › CUET-PG › CUET-PG 2023 Shift 2 › Q61
4 marks, −1Mathematics › Sets, relations and functions › One-to-one, onto and invertible functionsEasyabout 1 min

CUET-PG 2023 Shift 2 Question 61: Sets, relations and functions

The inverse of a function: x=3y+9x = \sqrt{3y+9}x=3y+9​ is

Tap an option to check your answer.

Answer and worked solution

Checking your account…

Plain-text version

The inverse of a function: x = √(3y+9) is (A) x² - 3/2 (B) 1/3x² (C) -3x²+1 (D) 1/3x² - 3

Also written as: The inverse of a function: x = sqrt(3y+9) is

Sets, relations and functions has come up 65 times in 6 exams since 2004.

What this question tests

This question is on One-to-one, onto and invertible functions, part of Sets, relations and functions in Mathematics.

Injective, surjective and bijective functions and when an inverse exists.

TestStop has 11 past-paper questions on this subtopic; the nearest in year are below.

  • IIT JAM 2022 · Q13Let f:[0,∞)→ℝ be defined by f(x) = (x+1)/(x+2) for all x in the domain. Then f is
Take this paper as a timed mockMore on One-to-one, onto and invertible functions

Similar questions from other papers

  • CUET-PG 2023 Shift 1 · Q46Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R): Assertion (A): The inverse of y = f(x) = e^x exists for all x…
  • UGC-NET 2023 · Q55Which of the following are correct in the case of the theory of sets? A. (AUB')n(A'UC)n(BUC') = (AnBnC)U(AUBUC). B. (AUB')n(A'UC)n(BUC') = (AnBnC)U(AUBUC)'. C. AU(BnC)…
  • CUET-PG 2022 · Q45For the set A = {3, 4}, find Power Set P(A)
  • CUET-PG 2021 · Q52The difference of {1,2,3,6,8} and {1,2,5,6} is the set

Question from the CUET-PG 2023 Shift 2 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.