Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$$f(x)=\frac{5 x}{\sqrt{25 x^{2}-1}}$$

Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

Baylor University

University of Michigan - Ann Arbor

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

03:18

00:46

$f(x)=-\sqrt{-25+x^{2}}$

00:44

01:32

$f(x)=\sqrt{x-5}$

01:58

$f(x)=5 x^{2}$ at $x=-1$

02:39

$f(x)=5 \sqrt{2 x}$ at $x=…

00:58

$f(x)=\sqrt{3 x^{2}-4 x+5}…

to find the zeros of this function. Many of that the numerator cultural zero. But now the denominator. When X equals to zero, the numerator goes to zero. Oh, wait when X equals to zero, the denominator is millions, since it is the square root of minors. So I want to emphasize here that the Jew my of this function is that that is smaller than echo two miners. 1/5 X is greater than or equal to 1/5. So add because 20 it's not in the do mine of this function, and hence it has no zeros to find the vertical, Essman told. We need that denominator calls to Europe and not the numerator. And it's easy to see that X equals two minus 1/5 of X equals to 1/5 satisfy this condition and has X equals two minus 1/5 and X equals to 1/5 as two vertical s name totes To find the horizontal as Mementos, we need to find a limit of this function, as goes to infinity s goes to positive infinity. We can find the limit. Bye. Dividing both the numerator and the denominator by X then the X goes to infinity. This term goes to zero and the denominator goes to the square root of 25 which is five. And the hands. This whole function goes to one. The X goes to polar day of infinity, where X goes to negative infinity. We need to divide minus X to both the numerator and the denominator. Why, Landers? Tax? Since we can put a negative number in June, the square root, we can only put a positive number into the square root since access negative minus taxes positive. And in this case, as goes to negative infinity, this term also goes to zero and the denominator goes to the square root of 25. So the whole function goes to minus one. The X goes to negative infinity in the hands. This function has two horizontal as mental, which X equals two minus one. Sorry, which are y equals two minus one and y equals two plus one. Here is a graph of this function and you can see that it has true vertical as move jobs and two horizontal s non metals

View More Answers From This Book

Find Another Textbook

Numerade Educator

01:13

Compute the indicated limit.$$\lim _{x \rightarrow 3^{-}} \frac{(x+2)}{(…

01:04

The maximum possible demand for a certain commodity is 20,000 tons. The high…

00:32

Find $f^{\prime}(x)$.$$f(x)=-3 x^{2}+7 x-11$$.

02:38

Decide whether or not the function is continuous. If it is not continuous, i…

02:05

Find the slope of the line passing through each pair of points.$$(0,-9) …

02:03

a) sketch the graph of the given function, and then draw the tangent line at…

01:02

Solve each of the following equations for the real values of $x$.$$\frac…

05:25

Determine (a) $f(x)+g(x),$ (b) $f(x)-g(x),$ (c) $f(x) g(x)$ (d) $f(x) / g(x)…

02:06

The profit in dollars in producing $x$ -items of some commodity is given by …

02:08

Find the slope of the line passing through each pair of points.$$(1,-5) …