Consider the following statements:
Statement – I: If $f$ and $g$ are continuous and monotonic on $R$ , then $f + g$ is also a monotonic function.
Statement- II: If $f (x)$ is a continuous decreasing function for all $x > 0$ , and $f (1)$ is positive, then $f (x) = 0$ happens exactly at one value of $x$ . Then,

Question

Consider the following statements:

Statement – I: If $f$ and $g$ are continuous and monotonic on $R$ , then $f + g$ is also a monotonic function.

Statement- II: If $f (x)$ is a continuous decreasing function for all $x > 0$ , and $f (1)$ is positive, then $f (x) = 0$ happens exactly at one value of $x$ . Then,

TestHub · Accepted Answer

I : f ( x ) = x and g ( x ) = − x 2 on R II : f ( x ) = x 1 ​ , x > 0

Mathematics - Application of Derivative Question with Solution | TestHub

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