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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - 1 < f (x) \leq 1

X Intercepts : (1, 0), (- 1, 0), Y Intercepts : (0, 1)

Asymptotes : Horizontal y = - 1

Extreme Points : Maximum (0, 1)

+1

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (1, 0), (- 1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

Horizontal

: y = - 1

Extreme Points of

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

Maximum

(0, 1)

Popular Examples

g(x)=7x^3-8x^2+112x-128

g (x) = 7 x^{3} - 8 x^{2} + 112 x - 128

f(x)=x^{2/3}(x^2+x-3/2)

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

y=-1/16 x^2+2x+5

y = - \frac{1}{16} x^{2} + 2 x + 5

y = 2 (x + 1)^{2} - 4

g(30)=19.6+1.74x

g (30) = 19.6 + 1.74 x

Frequently Asked Questions (FAQ)

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