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Popular Functions >

y=(4x^2-3)/(x-1)

Solution

y = \frac{4 x ^{2} - 3}{x - 1}

Solution

Domain : x < 1 or x > 1

Range : f (x) \leq 4 or f (x) \geq 12

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

Asymptotes : Vertical x = 1, Slant y = 4 x + 4

Extreme Points : Maximum (\frac{1}{2}, 4), Minimum (\frac{3}{2}, 12)

+1

Interval Notation

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

Range : (- \infty, 4] \cup [12, \infty)

Solution steps

Domain of

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

Range of

\frac{4 x ^{2} - 3}{x - 1} : f (x) \leq 4 or f (x) \geq 12

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 3)

Asymptotes of

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

Vertical

: x = 1,

Slant

: y = 4 x + 4

Extreme Points of

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

Maximum

(\frac{1}{2}, 4),

Minimum

(\frac{3}{2}, 12)

Graph

Popular Examples

f(x)=log_{1.5}(x)

f(x)=-(x+1)^2+3

f(x)=(x^2-4x+5)/(x-3)

f(x)=sin^2(x)-cos^2(x)

f(x)=(x^2-8x)/(3x^2-3x-90)

Frequently Asked Questions (FAQ)

What is the y=(4x^2-3)/(x-1) ?
The y=(4x^2-3)/(x-1) is