Practice Questions on Functions

Try out the following questions based on the function.

Q1. Let f(x) = x² + 4 and g(x) = 3x − 1. Find (f + g)(x).

Q2. If f(x) = cos(x) and g(x) = sin(x), determine (f − g)(x).

Q3. Given f(x) = 2x³ − x, compute (−3f)(x).

Q4. For f(x) = x² − 2 and g(x) = 1/x, what is (f⋅g)(x)?

Q5. If f(x) = e^x and g(x) = x³ , find (f/g)(x).

Q6. Let f(x) = √x+1 and g(x) = x² + 3. Determine g∘f(x).

Q7. If f(x) = ln(x) and g(x) = e^x, calculate h∘(g∘f)(x), where h(x) = x².

Q8. If f(x) = 3x − 4 and g(x) = 1/2(x + 1) are inverse functions, what is f^-1(x)?

Q9. Let f(x) = 2x² − 3 and g(x) = 4x + 5. Find (f + g)(x).

Q10. If f(x) = tan(x) and g(x) = cot(x), determine (f−g)(x).

Function is an important topic of algebra that is taught to students of class 11 and 12. This article will explain concepts related to functions and provide questions of function with solution and practice questions for students to practice. In order to ace in exam students must go through this article as it provide one stop solution for types of questions of function.