Class 11th Maths – RD Sharma Chapter 3 : Functions Very Short Answer Type Questions (VSAQs) Solutions
Write the range of the real function f(x) = |x|. Watch Solution
If f is a real function satisfying f(x + 1/x) = x^2 + 1/x^2 for all x ∈ R – {0}, then write the expression for f(x). Watch Solution
Write the range of the function f(x) = sin[x], where – π/4 ≤ x≤ π/4. Watch Solution
If f(x) = cos[π^2]x + cos[-π^2]x, where [x] denotes the greatest integer less than or equal to x, then write the value of f(π). Watch Solution
Write the range of the function f(x) = cos[x], where -π/4 less than x less than π/2. Watch Solution
Write the range of the function f(x) = e^{x – [x]}, x ∈ R. Watch Solution
Let f(x) = ax/(x+1), x ≠ -1. Then write the value of a satisfying f(f(x)) = x for all x ≠ -1. Watch Solution
If f(x) = 1 – 1/x, then write the value of f(f(1/x)). Watch Solution
Write the domain and range of the function f(x) = (x – 2)/(2 – x). Watch Solution
If f(x) = 4x – x^2, x ∈ R, then write the value of f(a + 1) – f(a – 1). Watch Solution
If f, g, h are real function given by f(x) = x^2, g(x) = tan x and h(x) = loge x, then write the value of (hogof)(√π/4). Watch Solution
Write the domain and range of function f(x) given by f(x) = 1/√(x – |x|). Watch Solution
Write the domain and range of f(x) = √(x – [x]). Watch Solution
Write the domain and range of function f(x) given f(x) = √([x] – x). Watch Solution
Let A and B be two sets such that n(A) = p and n(B) = q, write the number of function from A to B. Watch Solution
Let f and g be two functions given by f = {(2, 4), (5, 6),(8, -1), (10, -3)} and g = {(2, 5), (7, 1), (8, 4), (10, 13), (11, -5)}. Find the domain of f + g. Watch Solution
Find the set of value of x for which the functions f(x) = 3x^2 – 1 and g(x) = 3 + x are equal. Watch Solution
Let f and g be two real functions given by f = {(0, 1), (2, 0), (3, -4), (4, 2), (5, 1)} and g = {(1, 0), (2, 2), (3, -1), (4, 4), (5, 3)}. Find the domain of fg. Watch Solution