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Popular >

r(x)=(x^2+4x-5)/(x^2+x-2)

Solution

r (x) = \frac{x ^{2} + 4 x - 5}{x ^{2} + x - 2}

Solution

Domain : x < - 2 or - 2 < x < 1 or x > 1

Range : f (x) < 1 or 1 < f (x) < 2 or f (x) > 2

X Intercepts : (- 5, 0), Y Intercepts : (0, \frac{5}{2})

Asymptotes : Vertical x = - 2, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 1) \cup (1, \infty)

Range : (- \infty, 1) \cup (1, 2) \cup (2, \infty)

Solution steps

Domain of

\frac{x ^{2} + 4 x - 5}{x ^{2} + x - 2} : x < - 2 or - 2 < x < 1 or x > 1

Range of

\frac{x ^{2} + 4 x - 5}{x ^{2} + x - 2} : f (x) < 1 or 1 < f (x) < 2 or f (x) > 2

Axis interception points of

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

X Intercepts

: (- 5, 0),

Y Intercepts

: (0, \frac{5}{2})

Asymptotes of

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

Vertical

: x = - 2,

Horizontal

: y = 1

Extreme Points of

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

None

Popular Examples

f(x)=x^3-2x-2cos(x)

f (x) = x^{3} - 2 x - 2 cos (x)

f(x)=log_{10}(x)\times log_{10}(2)

f (x) = lo g_{10} (x) \times lo g_{10} (2)

f (x) = x^{3} - 7 x + 1

f (x) = 10 x^{8}

f(x)=csc^2(x/2)

f (x) = csc^{2} (\frac{x}{2})

Frequently Asked Questions (FAQ)

What is the r(x)=(x^2+4x-5)/(x^2+x-2) ?
The r(x)=(x^2+4x-5)/(x^2+x-2) is