Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Let $f(x)=x-7$ and $g(x)=x^{2} .$ Graph $f$ and $g$ together with$f \circ g$ and $g \circ f$

SEE GRAPH

Calculus 1 / AB

Chapter 1

Functions

Section 2

Combining Functions; Shifting and Scaling Graphs

Missouri State University

Campbell University

Baylor University

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

00:31

Graph both functions on on…

01:52

Use a graphing utility to …

01:25

Use the graph of y = f(x) …

01:47

01:33

01:58

00:43

Describe how the graph of …

02:33

01:12

01:39

So in this problem we are given two functions as n g x unlike this, and we are asked to graft B composition, both race. So first thing I'm going to do is I'm going to grab the original functions. And so here is f of X and read. And here is G effects and blue. So next step is to find out who the compositions are. So 1st 1 is at a key. So this is the same the same and where its argument iss I'm going to write JFX No next step is and going to like in the definition for chief ex that isthe X squared and no going to use the definition. And that is X minus seven. So instead of X re right here, X squared minus step. So this is going to be this first function the formula for this Rhys function. Now, for the next one, I'm going to do something very similar. We have gs the outside function and we have f of X as the inside function. So first we write the definition for that isthe X minus seven and next we used definition of G that's X squared. So instead of X. We are going to write this new argument that is X minus seven. So this should put enough formula. We could also write this out on DH closet. Plan out. Right, So this would be X squared miners two times seven. It's 14 x plus seven squared. That's 49. So then this will be the definition for years. Yeah, it's in Ross Step two DUIs graphics. We can just punch in these formulas to grow a calculator program. And and here's all forthem the red and blue we already talked about. So this purple one is G compulsive f and then the green one is hey!

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Graph both functions on one set of axes.$$f(x)=4^{x} \text { and } g(x)=…

Use a graphing utility to solve the problem.Graph $f(x)=x^{3}$ and $g(x)…

Use the graph of y = f(x) to graph each function g.$$g(x)=2 f(x)$$

Use the graph of y = f(x) to graph each function g.$$g(x)=f(2 x)$$

Describe how the graph of each function is a translation of the graph of $f(…

Use the graph of y = f(x) to graph each function g.$$g(x)=f(x)-2$$

Use the graph of y = f(x) to graph each function g.$$g(x)=f(x-2)$$

Use the graph of y = f(x) to graph each function g.$$g(x)=-f(x-2)$$

Use implicit differentiation to find $d y / d x$.$x=\sec y$

01:10

find $d y$.$y=2 \cot \left(\frac{1}{\sqrt{x}}\right)$

02:21

Find $d s / d t$$$s=\frac{1+\csc t}{1-\csc t}$$

02:00

Find $d y / d x$$$g(x)=\frac{\cos x}{\sin ^{2} x}$$

00:38

Find $d p / d q$$$p=5+\frac{1}{\cot q}$$

05:59

The graph of $y^{2}=x^{3}$ is called a semicubical parabola and is shown in …

01:24

Find the derivatives of the functions.\begin{equation}f(s)=\frac{\sq…

14:22

At what points do the graphs of the functions have horizontal tangent lines?…

06:56

Intersecting normal The line that is normal to the curve $x^{2}+$ $2 x y-3 y…

04:44

Use implicit differentiation to find $d y / d x$.$(3 x y+7)^{2}=6 y$

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.