What is the f(x)= 1/(x-x^2-1) ?

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f(x)= 1/(x-x^2-1)

f (x) = \frac{1}{x - x ^{2} - 1}

Domain : - \infty < x < \infty

Range : - \frac{4}{3} \leq f (x) < 0

Y Intercepts : (0, - 1)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (\frac{1}{2}, - \frac{4}{3})

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{4}{3}, 0)

Solution steps

Domain of

\frac{1}{x - x ^{2} - 1} : - \infty < x < \infty

Range of

\frac{1}{x - x ^{2} - 1} : - \frac{4}{3} \leq f (x) < 0

Axis interception points of

\frac{1}{x - x ^{2} - 1} :

Y Intercepts

: (0, - 1)

Asymptotes of

\frac{1}{x - x ^{2} - 1} :

Horizontal

: y = 0

Extreme Points of

\frac{1}{x - x ^{2} - 1} :

Minimum

(\frac{1}{2}, - \frac{4}{3})

f (x) = \frac{lo g _{10} ( x )}{1 + x}

g (x) = \frac{1}{80} \cdot x^{2} - \frac{1}{2} \cdot x + 20

y = 1.824 e^{- 0} 0.024 x

f (x) = (x + 5) (x - 4)

f (d) = 25 d^{2} - 80 d^{4} + 64