What is the inflection f(x)=(16)/(x^2+12) ?

The inflection f(x)=(16)/(x^2+12) is (-2,1),(2,1)

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inflection f(x)=(16)/(x^2+12)

inflection points

f (x) = \frac{16}{x ^{2} + 12}

(- 2, 1), (2, 1)

Solution steps

f^{''} (x) = - \frac{96 ( - x ^{2} + 4 )}{( x ^{2} + 12 ) ^{3}}

Find intervals:

Concave Upward

: - \infty < x < - 2,

Concave Downward

: - 2 < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = - 2

into

\frac{16}{x ^{2} + 12} : 1

(- 2, 1)

Plug

x = 2

into

\frac{16}{x ^{2} + 12} : 1

(2, 1)

(- 2, 1), (2, 1)

(- 2, - 7), (2.5, - 1.5)

f (x) = \frac{x ^{2} - 2 x}{2 x ^{2} + 2 x - 12}

\frac{- 5}{1 - x}

f (x) = \frac{3}{x ^{2}}

2 x^{2} (2 + 1)

What is the inflection f(x)=(16)/(x^2+12) ?
The inflection f(x)=(16)/(x^2+12) is (-2,1),(2,1)