If f(x) is periodic function with period T then f(ax), a≠ 0 is periodic function with fundamental period
Answers
Given,
Period of f(x) = T
To Find,
Period of function f(ax).
Solution,
Since we are given that the period of function f(x) is T.
When a non-zero number is multiplied in the function, then the period of that function becomes
Period of f(ax) = T/|a| , a≠ 0
Hence, the period of the function f(ax) is T/|a|.
The period of the function f(ax) is T/|a|.
Given,
The period of f(x) = T.
To Find,
The period of function f(ax).
Solution,
Since we are given that the period of function f(x) is T.
When a non-zero number is multiplied in the function, then the period of that function becomes the time period of the original function divided by that number.
For example,
The period of sin x is 2π, so the period of the function sin 2x will be π.
So, in the same way
Period of f(ax) = T/|a| , a≠ 0
Hence, the period of the function f(ax) is T/|a|.
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