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Popular >

f(x)=(-3x^2+21x-36)/(5x-20)

Solution

f (x) = \frac{- 3 x ^{2} + 21 x - 36}{5 x - 20}

Solution

Domain : x < 4 or x > 4

Range : f (x) < - \frac{3}{5} or f (x) > - \frac{3}{5}

X Intercepts : (3, 0), Y Intercepts : (0, \frac{9}{5})

Asymptotes : Slant y = - \frac{3}{5} x + \frac{9}{5}

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, 4) \cup (4, \infty)

Range : (- \infty, - \frac{3}{5}) \cup (- \frac{3}{5}, \infty)

Solution steps

Domain of

\frac{- 3 x ^{2} + 21 x - 36}{5 x - 20} : x < 4 or x > 4

Range of

\frac{- 3 x ^{2} + 21 x - 36}{5 x - 20} : f (x) < - \frac{3}{5} or f (x) > - \frac{3}{5}

Axis interception points of

\frac{- 3 x ^{2} + 21 x - 36}{5 x - 20} :

X Intercepts

: (3, 0),

Y Intercepts

: (0, \frac{9}{5})

Asymptotes of

\frac{- 3 x ^{2} + 21 x - 36}{5 x - 20} :

Slant

: y = - \frac{3}{5} x + \frac{9}{5}

Extreme Points of

\frac{- 3 x ^{2} + 21 x - 36}{5 x - 20} :

None

Popular Examples

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f (x) = x x - 4

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f (x) = 3 x^{2} + 8 x^{3}

f (x) = 4 x^{2} + 6 x - 1

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

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

Frequently Asked Questions (FAQ)

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