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Popular >

g(x)=(1+2x)/(3-4x)

Solution

g (x) = \frac{1 + 2 x}{3 - 4 x}

Solution

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

Range : f (x) < - \frac{1}{2} or f (x) > - \frac{1}{2}

X Intercepts : (- \frac{1}{2}, 0), Y Intercepts : (0, \frac{1}{3})

Asymptotes : Vertical x = \frac{3}{4}, Horizontal y = - \frac{1}{2}

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, \infty)

Solution steps

Domain of

\frac{1 + 2 x}{3 - 4 x} : x < \frac{3}{4} or x > \frac{3}{4}

Range of

\frac{1 + 2 x}{3 - 4 x} : f (x) < - \frac{1}{2} or f (x) > - \frac{1}{2}

Axis interception points of

\frac{1 + 2 x}{3 - 4 x} :

X Intercepts

: (- \frac{1}{2}, 0),

Y Intercepts

: (0, \frac{1}{3})

Asymptotes of

\frac{1 + 2 x}{3 - 4 x} :

Vertical

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

Horizontal

: y = - \frac{1}{2}

Extreme Points of

\frac{1 + 2 x}{3 - 4 x} :

None

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f (t) = t^{2} - 9

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

Frequently Asked Questions (FAQ)

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