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Popular >

f(x)=(sqrt(x+3)-3)/(6-x)

Solution

f (x) = \frac{x + 3 - 3}{6 - x}

Solution

Domain : - 3 \leq x < 6 or x > 6

Range : - \frac{1}{3} \leq f (x) < - \frac{1}{6} or - \frac{1}{6} < f (x) < 0

Y Intercepts : (0, \frac{1 - 3}{2 3})

Asymptotes : Horizontal y = 0

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

+1

Interval Notation

Domain : [- 3, 6) \cup (6, \infty)

Range : [- \frac{1}{3}, - \frac{1}{6}) \cup (- \frac{1}{6}, 0)

Solution steps

Domain of

\frac{x + 3 - 3}{6 - x} : - 3 \leq x < 6 or x > 6

Range of

\frac{x + 3 - 3}{6 - x} : - \frac{1}{3} \leq f (x) < - \frac{1}{6} or - \frac{1}{6} < f (x) < 0

Axis interception points of

\frac{x + 3 - 3}{6 - x} :

Y Intercepts

: (0, \frac{1 - 3}{2 3})

Asymptotes of

\frac{x + 3 - 3}{6 - x} :

Horizontal

: y = 0

Extreme Points of

\frac{x + 3 - 3}{6 - x} :

Minimum

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

Popular Examples

f(x)=x^3-9x^2+24x-2

f (x) = x^{3} - 9 x^{2} + 24 x - 2

f(x)=sqrt(x^2-6x+8)

f (x) = x^{2} - 6 x + 8

f(x)=\sqrt[3]{x^2-6x+6}

f(x)=(-3x*log_{10}(x+8))/(\sqrt[3]{x+8)}

f(x)=x^3-2x^2+3

f (x) = x^{3} - 2 x^{2} + 3

Frequently Asked Questions (FAQ)

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