en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(2x-6)/(4-sqrt(7+x^2))

Solution

f (x) = \frac{2 x - 6}{4 - 7 + x ^{2}}

Solution

Domain : x < - 3 or - 3 < x < 3 or x > 3

Range : f (x) < - \frac{8}{3} or - \frac{8}{3} < f (x) < - 2 or f (x) > 2

Y Intercepts : (0, - \frac{2 ( 4 + 7 )}{3})

Asymptotes : Vertical x = - 3, Horizontal y = - 2, y = 2

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, 3) \cup (3, \infty)

Range : (- \infty, - \frac{8}{3}) \cup (- \frac{8}{3}, - 2) \cup (2, \infty)

Solution steps

Domain of

\frac{2 x - 6}{4 - 7 + x ^{2}} : x < - 3 or - 3 < x < 3 or x > 3

Range of

\frac{2 x - 6}{4 - 7 + x ^{2}} : f (x) < - \frac{8}{3} or - \frac{8}{3} < f (x) < - 2 or f (x) > 2

Axis interception points of

\frac{2 x - 6}{4 - 7 + x ^{2}} :

Y Intercepts

: (0, - \frac{2 ( 4 + 7 )}{3})

Asymptotes of

\frac{2 x - 6}{4 - 7 + x ^{2}} :

Vertical

: x = - 3,

Horizontal

: y = - 2, y = 2

Extreme Points of

\frac{2 x - 6}{4 - 7 + x ^{2}} :

None

Popular Examples

f(x)=12x^3-5x^2-11x+6

f (x) = 12 x^{3} - 5 x^{2} - 11 x + 6

f(x)=(sqrt(x^2-9))/(x^2+2x-8)

f (x) = \frac{x ^{2} - 9}{x ^{2} + 2 x - 8}

f(x)= 8/(x^2-1)

f (x) = \frac{8}{x ^{2} - 1}

P(x)=2x^2+4x-16

P (x) = 2 x^{2} + 4 x - 16

f(x)= x/(x^2+49)

f (x) = \frac{x}{x ^{2} + 49}

Frequently Asked Questions (FAQ)

What is the f(x)=(2x-6)/(4-sqrt(7+x^2)) ?
The f(x)=(2x-6)/(4-sqrt(7+x^2)) is