Whether the statement, if the function f is positive increasing and function g is positive increasing then fg is also increasing is true or false.
The given statement is true.
If a function f is increasing then for all values of x
Similarly, if a function g is increasing then for all values of x
Show that for all values of x.
The product function can be expressed as,
Therefore, the product function, fg is an increasing function.
Thus, the given statement is false.
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