What is the f(x)=(-2x^2+4x+16)/(x^2-5x+4) ?

The f(x)=(-2x^2+4x+16)/(x^2-5x+4) is

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f(x)=(-2x^2+4x+16)/(x^2-5x+4)

f (x) = \frac{- 2 x ^{2} + 4 x + 16}{x ^{2} - 5 x + 4}

Domain : x < 1 or 1 < x < 4 or x > 4

Range : f (x) < - 4 or - 4 < f (x) < - 2 or f (x) > - 2

X Intercepts : (- 2, 0), Y Intercepts : (0, 4)

Asymptotes : Vertical x = 1, Horizontal y = - 2

Extreme Points : None

Interval Notation

Domain : (- \infty, 1) \cup (1, 4) \cup (4, \infty)

Range : (- \infty, - 4) \cup (- 4, - 2) \cup (- 2, \infty)

Solution steps

Domain of

\frac{- 2 x ^{2} + 4 x + 16}{x ^{2} - 5 x + 4} : x < 1 or 1 < x < 4 or x > 4

Range of

\frac{- 2 x ^{2} + 4 x + 16}{x ^{2} - 5 x + 4} : f (x) < - 4 or - 4 < f (x) < - 2 or f (x) > - 2

Axis interception points of

\frac{- 2 x ^{2} + 4 x + 16}{x ^{2} - 5 x + 4} :

X Intercepts

: (- 2, 0),

Y Intercepts

: (0, 4)

Asymptotes of

\frac{- 2 x ^{2} + 4 x + 16}{x ^{2} - 5 x + 4} :

Vertical

: x = 1,

Horizontal

: y = - 2

Extreme Points of

\frac{- 2 x ^{2} + 4 x + 16}{x ^{2} - 5 x + 4} :

None

f (a) = lo g_{a} (12)

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

y = - 5 x + 15

y = - 5 x + 12

f (x) = 4 x - x^{2} + 8

What is the f(x)=(-2x^2+4x+16)/(x^2-5x+4) ?
The f(x)=(-2x^2+4x+16)/(x^2-5x+4) is