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Popular >

f(x)=(sqrt(x+4))/(-4x+3)

Solution

f (x) = \frac{x + 4}{- 4 x + 3}

Solution

Domain : - 4 \leq x < \frac{3}{4} or x > \frac{3}{4}

Range : - \infty < f (x) < \infty

X Intercepts : (- 4, 0), Y Intercepts : (0, \frac{2}{3})

Asymptotes : Vertical x = \frac{3}{4}, Horizontal y = 0

Extreme Points : Minimum (- 4, 0)

+1

Interval Notation

Domain : [- 4, \frac{3}{4}) \cup (\frac{3}{4}, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

\frac{x + 4}{- 4 x + 3} : - \infty < f (x) < \infty

Axis interception points of

\frac{x + 4}{- 4 x + 3} :

X Intercepts

: (- 4, 0),

Y Intercepts

: (0, \frac{2}{3})

Asymptotes of

\frac{x + 4}{- 4 x + 3} :

Vertical

: x = \frac{3}{4},

Horizontal

: y = 0

Extreme Points of

\frac{x + 4}{- 4 x + 3} :

Minimum

(- 4, 0)

Popular Examples

p(x)=3x^3+4x^2+12x+16

p (x) = 3 x^{3} + 4 x^{2} + 12 x + 16

f(x)=(x^2-1)/(x^2+4)

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

f(x)=-1/2 x+3/5

f (x) = - \frac{1}{2} x + \frac{3}{5}

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

f (x) = 3 x^{2} + 7 x + 5

Frequently Asked Questions (FAQ)

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