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sladkih [1.3K]
3 years ago
10

Which statement describes the behavior of the function f (x) = StartFraction 2 x Over 1 minus x squared EndFraction?

Mathematics
2 answers:
Ghella [55]3 years ago
6 0

Answer:

It's B on edge

Step-by-step explanation:

Anastaziya [24]3 years ago
3 0

Answer:

Option B.

Step-by-step explanation:

The given function is

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

We have find the behavior of the function f (x) as  x approaches infinity.

The given function can be rewritten as

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

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

lim_{x\rightarrow \infty}f(x)=lim_{x\rightarrow \infty}\dfrac{2}{x(\dfrac{1}{x^2}-1)}

Apply limit.

lim_{x\rightarrow \infty}f(x)=\dfrac{2}{\infty(\dfrac{1}{\infty^2}-1)}

lim_{x\rightarrow \infty}f(x)=0

The graph approaches 0 as x approaches infinity.

Therefore, he correct option is B.

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the domain of a function f(x) is x > 1, and the range is y < -2. What are the domain and range of its inverse function, f^
Marianna [84]

9514 1404 393

Answer:

  • domain: x < -2
  • range: y > 1

Step-by-step explanation:

Domain and range of the inverse function are swapped: the domain of the function is the range of its inverse, and vice versa.

__

The graph shows an example of a function and its inverse with the given domain and range. The function is red; its inverse is blue.

8 0
3 years ago
A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m
Scorpion4ik [409]

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

5 0
3 years ago
Why is 3 a rational number
marishachu [46]

Answer:

In mathematics rational means "ratio like." So a rational number is one that can be written as the ratio of two integers. For example 3=3/1, −17, and 2/3 are rational numbers. ... The rational numbers are those which have repeating decimal expansions (for example 1/11=0.09090909..., and 1=1.000000...

Step-by-step explanation::P

7 0
3 years ago
Read 2 more answers
Name
Anvisha [2.4K]

Answer:

4x+8

6x-8

48x^2+30x-4

Step-by-step explanation:

a) 4(x + 2)=4x+8

b) 2(3x - 4)  =6x-8

c) 4(3 - 6x) 2x + 18-2(2 – 3x)  

=(12-24x)2x-4+6x

=24x-48x^2-4+6x

=-48x^2+30x-4

4 0
3 years ago
Use f(x)=1/2x and f^-1(x)=2x to solve the problems f^1(-2), f(-4), f(f^-1(-2)?
neonofarm [45]
F^1(-2) = 2(-2) = -4
f(-4) = 1/2 * -4 =  -2

f(f^-1(x)) = x    so answer is  -2
8 0
3 years ago
Read 2 more answers
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