Examples on Function
Example 1: For two functions f and g are defined as, f(x) = x2 and g(x) = ln(2x). Find the composite function (gof )( x )
Solution:
Given:
- f(x) = x2
- g(x) = ln(2x)
(gof )( x ) = g (f (x))
[g (f (x)] = ln(2f(x))
= ln(2x2)
= 2 ln(√2x)
Thus, (gof)(x) = 2 ln(√2x)
Example 2: Find the output of the function g(t)= 6t2 + 5 at
- (i) t = 0
- (ii) t = 2
Solution:
Given Function,
g(t)= 6t2 + 5t
- (i) t = 0
g(0) = 6(0)2+5(0) = 0 + 0
g(0) = 0
- (ii) t = 2
g(2) = 6(2)2+5(2)
g(2) = 24 + 10
g(2) = 34
Example 3: The length of a rectangle is five times its breadth, express the area of the rectangle as a function of its length.
Solution:
Let, length of the rectangle be l and the breadth of the rectangle is, b
Now,
- b = l/5
Area of Rectangle(A) = l × l/5 = l2/5
Thus, area of rectangle as the function of its length is,
A(l) = l2/5
What is a Function in Maths?
A Function in maths is a special relation between the set of input values and the set of output values. In Function, each input value gives a particular output value. We represent a function in maths as, y = f(x) where x is the input value and for each x we get an output value as y.
In this article, we will learn about, functions in mathematics, their various types, examples, and others in detail.
Table of Content
- What is a Function in Maths?
- Function Definition in Maths
- Functions Examples
- Condition for a Function
- Representation of Functions in Math
- Identification of Function
- Types of Function
- What is a Function in Algebra?
- Domain and Range of a Function
- Composition of Functions
- Algebra of Functions
- What is a Function on a Graph?
- Graphing Functions
- Common Functions
- Applications of Functions
- Examples on Function
- Practice Problems on What is a Function