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Popular >

f(x)=(2-sqrt(x-3))/(x^2-49)

Solution

f (x) = \frac{2 - x - 3}{x ^{2} - 49}

Solution

Domain : 3 \leq x < 7 or x > 7

Range : - \frac{1}{20} \leq f (x) < - \frac{1}{56} or - \frac{1}{56} < f (x) < 0

Intercepts : None

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (3, - \frac{1}{20})

+1

Interval Notation

Domain : [3, 7) \cup (7, \infty)

Range : [- \frac{1}{20}, - \frac{1}{56}) \cup (- \frac{1}{56}, 0)

Solution steps

Domain of

\frac{2 - x - 3}{x ^{2} - 49} : 3 \leq x < 7 or x > 7

Range of

\frac{2 - x - 3}{x ^{2} - 49} : - \frac{1}{20} \leq f (x) < - \frac{1}{56} or - \frac{1}{56} < f (x) < 0

Axis interception points of

\frac{2 - x - 3}{x ^{2} - 49} :

None

Asymptotes of

\frac{2 - x - 3}{x ^{2} - 49} :

Horizontal

: y = 0

Extreme Points of

\frac{2 - x - 3}{x ^{2} - 49} :

Minimum

(3, - \frac{1}{20})

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

y = 2 x^{2} + 2 x

f (x) = 2^{x} + 7

Frequently Asked Questions (FAQ)

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