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Popular >

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

Solution

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

Solution

Domain : - 1 < x < 1

Range : f (x) \geq 1

Y Intercepts : (0, 1)

Asymptotes : Vertical x = - 1, x = 1

Extreme Points : Minimum (0, 1)

+1

Interval Notation

Domain : (- 1, 1)

Range : [1, \infty)

Solution steps

Domain of

1 + \frac{x ^{2}}{1 - x ^{2}} : - 1 < x < 1

Range of

1 + \frac{x ^{2}}{1 - x ^{2}} : f (x) \geq 1

Axis interception points of

1 + \frac{x ^{2}}{1 - x ^{2}} :

Y Intercepts

: (0, 1)

Asymptotes of

1 + \frac{x ^{2}}{1 - x ^{2}} :

Vertical

: x = - 1, x = 1

Extreme Points of

1 + \frac{x ^{2}}{1 - x ^{2}} :

Minimum

(0, 1)

Popular Examples

f(x)=(x+2)/(x+6)

f (x) = \frac{x + 2}{x + 6}

f (x) = 3^{x^{3}}

f(x)=(x+11)/(x^2-121)

f (x) = \frac{x + 11}{x ^{2} - 121}

y = 2 x^{2} + x + 1

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

Frequently Asked Questions (FAQ)

What is the f(x)=sqrt(1+(x^2)/(1-x^2)) ?
The f(x)=sqrt(1+(x^2)/(1-x^2)) is