What is the monotone f(x)=5x^2-(12)/(x+3) ?

The monotone f(x)=5x^2-(12)/(x+3) is

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monotone f(x)=5x^2-(12)/(x+3)

monotone

Decreasing : - \infty < x < - 3.57903 \dots, Increasing : - 3.57903 \dots < x < - 3, Increasing : - 3 < x < - 2.27348 \dots, Decreasing : - 2.27348 \dots < x < - 0.14747 \dots, Increasing : - 0.14747 \dots < x < \infty

Solution steps

Find the critical points:

x = - 3.57903 \dots, x \approx - 2.27348 \dots, x \approx - 0.14747 \dots

Domain of

5 x^{2} - \frac{12}{x + 3} : x < - 3 or x > - 3

Find intervals:

Decreasing

: - \infty < x < - 3.57903 \dots,

Increasing

: - 3.57903 \dots < x < - 3,

Increasing

: - 3 < x < - 2.27348 \dots,

Decreasing

: - 2.27348 \dots < x < - 0.14747 \dots,

Increasing

: - 0.14747 \dots < x < \infty

Decreasing : - \infty < x < - 3.57903 \dots, Increasing : - 3.57903 \dots < x < - 3, Increasing : - 3 < x < - 2.27348 \dots, Decreasing : - 2.27348 \dots < x < - 0.14747 \dots, Increasing : - 0.14747 \dots < x < \infty

What is the monotone f(x)=5x^2-(12)/(x+3) ?
The monotone f(x)=5x^2-(12)/(x+3) is