What is the f(x)=(4-x^2)/(3-sqrt(x^2+5)) ?

The f(x)=(4-x^2)/(3-sqrt(x^2+5)) is

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f(x)=(4-x^2)/(3-sqrt(x^2+5))

f (x) = \frac{4 - x ^{2}}{3 - x ^{2} + 5}

Domain : x < - 2 or - 2 < x < 2 or x > 2

Range : 3 + 5 \leq f (x) < 6 or f (x) > 6

Y Intercepts : (0, 3 + 5)

Asymptotes : None

Extreme Points : Minimum (0, 3 + 5)

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 2) \cup (2, \infty)

Range : [3 + 5, 6) \cup (6, \infty)

Solution steps

Domain of

\frac{4 - x ^{2}}{3 - x ^{2} + 5} : x < - 2 or - 2 < x < 2 or x > 2

Range of

\frac{4 - x ^{2}}{3 - x ^{2} + 5} : 3 + 5 \leq f (x) < 6 or f (x) > 6

Axis interception points of

\frac{4 - x ^{2}}{3 - x ^{2} + 5} :

Y Intercepts

: (0, 3 + 5)

Asymptotes of

\frac{4 - x ^{2}}{3 - x ^{2} + 5} :

None

Extreme Points of

\frac{4 - x ^{2}}{3 - x ^{2} + 5} :

Minimum

(0, 3 + 5)

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