|| Exercise 1.1 || Q# 3 (a to b) || Class 12 lahore board ||
Автор: @mathwithabbas
Загружено: 2026-03-04
Просмотров: 3
Описание:
EXERCISE 1.1
1. Given that:
(a) f(x) = x ^ 2 - x
(b) f(x) = sqrt(x + 4)
Find (i) f(- 2)
(ii) f(0)
(iii) f(x - 1)
(iv) f(x ^ 2 + 4)
2. Find (f(a + h) - f(a))/h and simplify where,
(i) f(x) = 6x - 9
(iii) f(x) = sin x
(iv) f(x) = x ^ 3 + 2x ^ 2 - 1
(v) f(x) = cos x
3. Express the following:
(a) The perimeter P of square as a function of its area A.
(b) The area A of a circle as a function of its circumference C.
(c) The volume V of a cube as a function of the area A of its base.
4. Find the domain and the range of the function g defined below, and
(i) g(x) = 2x - 5
(iii) g(x) = sqrt(x + 1)
(ii) g(x) = sqrt(x ^ 2 - 4)
(iv) g(x) = |x - 3|
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