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Popular >

f(x)=(4x^2-12x)/(x-5)

Solution

f (x) = \frac{4 x ^{2} - 12 x}{x - 5}

Solution

Domain : x < 5 or x > 5

Range : f (x) \leq - 810 + 28 or f (x) \geq 810 + 28

X Intercepts : (3, 0), (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = 5, Slant y = 4 x + 8

Extreme Points : Maximum (5 - 10, \frac{28 5 - 40 2}{5}), Minimum (5 + 10, \frac{40 2 + 28 5}{5})

+1

Interval Notation

Domain : (- \infty, 5) \cup (5, \infty)

Range : (- \infty, - 810 + 28] \cup [810 + 28, \infty)

Solution steps

Domain of

\frac{4 x ^{2} - 12 x}{x - 5} : x < 5 or x > 5

Range of

\frac{4 x ^{2} - 12 x}{x - 5} : f (x) \leq - 810 + 28 or f (x) \geq 810 + 28

Axis interception points of

\frac{4 x ^{2} - 12 x}{x - 5} :

X Intercepts

: (3, 0), (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{4 x ^{2} - 12 x}{x - 5} :

Vertical

: x = 5,

Slant

: y = 4 x + 8

Extreme Points of

\frac{4 x ^{2} - 12 x}{x - 5} :

Maximum

(5 - 10, \frac{28 5 - 40 2}{5}),

Minimum

(5 + 10, \frac{40 2 + 28 5}{5})

Popular Examples

f (x) = 2 x - 3 x

g(x)=3log_{10}((x-2)/5)+log_{10}(x^2+1)

g (x) = 3 lo g_{10} (\frac{x - 2}{5}) + lo g_{10} (x^{2} + 1)

y = - \frac{5}{7} x - 1

f(x)=arctanh(\sqrt[3]{x})

f(x)=e^x(x^2-1)

f (x) = e^{x} (x^{2} - 1)

Frequently Asked Questions (FAQ)

What is the f(x)=(4x^2-12x)/(x-5) ?
The f(x)=(4x^2-12x)/(x-5) is