Home » Question Bank » Composite functions
Mathematics

Composite functions

Chapter: Calculus

Question 1 of 1 NDA MCQ

 If f(x) = 4x + 1and g(x) = kx + 2such that fog(x) = gof(x), then what is the value of k ?

Detailed Explanation
Solution:
Given: f(x) = 4x + 1 and g(x) = kx + 2
And fog (x) = gof(x)
⇒ f[kx + 2] = g[4x + 1]
⇒ 4(kx + 2) + 1 = k(4x + 1) + 2
⇒ 4 kx + 8 + 1 = 4 kx + k + 2
⇒ k = 7

Unlock 10,000+ Practice Questions

This is a preview of the SenaPrep Question Bank. To access comprehensive chapter-wise exercises, bookmark questions, attempt custom tests, and track your progress, download the official SenaPrep Android App.

Download Android App