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

Determine whether or not the function determined by the given equation is one-to-one.$$h(x)=2 x+5$$

Yes

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 1

Inverse Functions

McMaster University

Harvey Mudd College

Baylor University

Lectures

01:15

Determine whether or not t…

00:56

Determine whether the func…

01:00

Determine if the function …

01:12

Determine whether the give…

01:53

One-to-One Function? Deter…

01:17

So if we want to determine if this is 1 to 1 function, what we need to do is plug in to arbitrary numbers, say A and B into this function, and then see if these have to be the same value if we set them equal to each other. So let's just go ahead and start there so I'll do h of a on the left h of B on the right, and now this is going to give us to a plus. Five is equal to to be plus five. And now we just need toe work backwards and see if we can get a is equal to be so. First, let's subtract five on each side so the vibes cancel. Then we're going to have to A is able to to be. Then we can go ahead and divide each side by two. The twos cancel, and then we get a is equal to be so since is going to be This implies. So this implies H backs is 1 to 1. So you put your little foot block since my face because you're glad you're able to show it

View More Answers From This Book

Find Another Textbook

Numerade Educator

02:15

If the cost equation in Exercise I is $C(x)=0.5 x^{2}+x+1,$ what price shoul…

10:58

In Exercises $29-38,$ for the function determined by the given equation (a) …

02:34

Find the point on the line $3 x+4 y+7=0$ closest to the point $(1,-2)$.

00:47

Determine if the equation describes an increasing or decreasing function or …

04:11

A fur dealer finds that when coats sell for $\$ 4000,$ monthly sales are 6 c…

02:10

(a) Show that $f(x)=\left(x-a_{1}\right)^{2}+\left(x-a_{2}\right)^{2}$ has i…

01:04

Sketch the graph of the function defined in the given exercise. Use all the …

Use your calculator to compute the expression given.$$4.753^{4 / 3}$$

06:03

A point moves along the circle $x^{2}+y^{2}=5$ in such a way that the distan…

02:28

Given $f^{\prime}(x)=48 x^{3}\left(x^{4}+5\right)^{12},$ try to find $f(x)$ …