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Popular >

f(x)=(2x-9)/(x-4)

Solution

f (x) = \frac{2 x - 9}{x - 4}

Solution

Domain : x < 4 or x > 4

Range : f (x) < 2 or f (x) > 2

X Intercepts : (\frac{9}{2}, 0), Y Intercepts : (0, \frac{9}{4})

Asymptotes : Vertical x = 4, Horizontal y = 2

Extreme Points : None

+1

Interval Notation

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

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

Solution steps

Domain of

\frac{2 x - 9}{x - 4} : x < 4 or x > 4

Range of

\frac{2 x - 9}{x - 4} : f (x) < 2 or f (x) > 2

Axis interception points of

\frac{2 x - 9}{x - 4} :

X Intercepts

: (\frac{9}{2}, 0),

Y Intercepts

: (0, \frac{9}{4})

Asymptotes of

\frac{2 x - 9}{x - 4} :

Vertical

: x = 4,

Horizontal

: y = 2

Extreme Points of

\frac{2 x - 9}{x - 4} :

None

Popular Examples

y = x^{\frac{- 2}{3}}

f(x)= x/(sqrt(x+3))-5/(sqrt(5-x))

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

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

y=(e^x)/(1-e^x)

y = \frac{e ^{x}}{1 - e ^{x}}

f(t)=5e-5t+2t^2-4

f (t) = 5 e - 5 t + 2 t^{2} - 4

Frequently Asked Questions (FAQ)

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