Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2014MathematicsFunctionsActual

If f(x)=a x+b and g(x)=c x+d such that f(g(x))=g(f(x)) , then which one of the following is correct?

Options

  1. Af(c)=g(a)
  2. Bf(a)=g(c)
  3. Cf(c)=g(d)
  4. Df(d)=g(b)

Correct answer

D. f(d)=g(b)

Step-by-step solution

The correct answer is option(D)

Practice Functions on Quantrex Academy →

More from Functions

Consider the following statements in respect of the function f(x)=x in the interval (-1,1) : I. The function attains maximum value. II. The function attains minimum value. Which of 2026Passage: Consider the curves y=x^2 and y=2|x| . Question: What is the number of points of intersection of the curves ? 2026If 2f(x)+f(1-x)=x , then what is f(x) equal to ? 2026For the following two (02) items: Consider the function f(x) = 1 - [3] (x-1)^2 . What is the domain of the function? 2025Consider the following for the two (02) items that follow: Let the function y = (1 - x)⁻¹ , where x 2n and n is an integer. What is the range of the function? 2025For the following two (02) items: Consider the function f(x) = 10^x - 10^ -x 10^x + 10^ -x . What is f f f f f(0) equal to? 2025Consider the following for the two (02) items that follow: Let the curve f(x) = |x - 3| . What is the domain of the function f(x) ? 2025Consider the following for the two (02) items that follow: Let f = (1, 1), (2, 4), (3, 7), (4, 10) . If f(x) = px + q , then what is the value of (p + q) ? 2025 Full Functions list All NDA PYQs