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Popular >

f(x)=(5x+3)/(3x+12)

Solution

f (x) = \frac{5 x + 3}{3 x + 12}

Solution

Domain : x < - 4 or x > - 4

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

X Intercepts : (- \frac{3}{5}, 0), Y Intercepts : (0, \frac{1}{4})

Asymptotes : Vertical x = - 4, Horizontal y = \frac{5}{3}

Extreme Points : None

+1

Interval Notation

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

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

Solution steps

Domain of

\frac{5 x + 3}{3 x + 12} : x < - 4 or x > - 4

Range of

\frac{5 x + 3}{3 x + 12} : f (x) < \frac{5}{3} or f (x) > \frac{5}{3}

Axis interception points of

\frac{5 x + 3}{3 x + 12} :

X Intercepts

: (- \frac{3}{5}, 0),

Y Intercepts

: (0, \frac{1}{4})

Asymptotes of

\frac{5 x + 3}{3 x + 12} :

Vertical

: x = - 4,

Horizontal

: y = \frac{5}{3}

Extreme Points of

\frac{5 x + 3}{3 x + 12} :

None

Popular Examples

f(x)=(1+csc(x))/(1+sin(x))

f (x) = \frac{1 + csc ( x )}{1 + sin ( x )}

p(t)=105sin(pi/(11)t-pi/3)+2000

p (t) = 105 sin (\frac{π}{11} t - \frac{π}{3}) + 2000

f(x)=(5x+20)/(x^2-3x-10)

f (x) = \frac{5 x + 20}{x ^{2} - 3 x - 10}

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

f (x) = (x - 4)^{\frac{1}{2}}

y = 2 x^{2} - 8 x + 11

Frequently Asked Questions (FAQ)

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