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Popular Functions >

f(x)= 4/(4-sqrt(25-x^2))

Solution

f (x) = \frac{4}{4 - 25 - x ^{2}}

Solution

Domain : - 5 \leq x < - 3 or - 3 < x < 3 or 3 < x \leq 5

Range : f (x) \leq - 4 or f (x) \geq 1

Y Intercepts : (0, - 4)

Asymptotes : Vertical x = - 3, x = 3

Extreme Points : Minimum (- 5, 1), Maximum (0, - 4), Minimum (5, 1)

+1

Interval Notation

Domain : [- 5, - 3) \cup (- 3, 3) \cup (3, 5]

Range : (- \infty, - 4] \cup [1, \infty)

Solution steps

Domain of

\frac{4}{4 - 25 - x ^{2}} : - 5 \leq x < - 3 or - 3 < x < 3 or 3 < x \leq 5

Range of

\frac{4}{4 - 25 - x ^{2}} : f (x) \leq - 4 or f (x) \geq 1

Axis interception points of

\frac{4}{4 - 25 - x ^{2}} :

Y Intercepts

: (0, - 4)

Asymptotes of

\frac{4}{4 - 25 - x ^{2}} :

Vertical

: x = - 3, x = 3

Extreme Points of

\frac{4}{4 - 25 - x ^{2}} :

Minimum

(- 5, 1),

Maximum

(0, - 4),

Minimum

(5, 1)

Graph

Popular Examples

f(x)=sin(2x)+sin(3x)

f(x)=sqrt(x)+sqrt(x-4)

Frequently Asked Questions (FAQ)

What is the f(x)= 4/(4-sqrt(25-x^2)) ?
The f(x)= 4/(4-sqrt(25-x^2)) is