Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
Let $ f $ and $ g $ be linear functions with equations $ f(x) = m_1 x + b_1 $ and and $ g(x) = m_2 x + b_2 $. Is $ f \circ g $ also a linear function? If so, what is the slope of its graph?
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Heather Zimmers
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
02:06
Jeffrey Payo
Calculus 1 / AB
Calculus 2 / BC
Calculus 3
Chapter 1
Functions and Models
Section 3
New Functions from Old Functions
Functions
Integration Techniques
Partial Derivatives
Functions of Several Variables
Missouri State University
Harvey Mudd College
University of Michigan - Ann Arbor
Idaho State University
Lectures
04:31
A multivariate function is a function whose value depends on several variables. In contrast, a univariate function is a function whose value depends on only one variable. A multivariate function is also called a multivariate expression, a multivariate polynomial, a multivariate series, or a multivariate function of several variables.
12:15
In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.
01:07
Let $f$ and $g$ be linear …
01:35
01:59
02:48
01:52
Composing Linear Functions…
01:15
$$\begin{array}{l}{\te…
00:55
02:02
The graphs of the function…
01:01
Show that if $f(x)=a x+b$ …
here we have two linear functions F N g, and we're going to find f of G and see if it's linear or not. So that means we're going to put the G function inside the F function and it will look like this m sub one times m sub two x plus B sub to plus B some to now let's simplify it and see if it looks like it's the equation of a line so we can distribute the EMS of one. And we have m sub one times m sub two times X plus m sub one times be siptu plus B sub to. So what I'm seeing here is I'm seeing some function. Why that has some number times X plus some other number. That, to me, looks like Why equals some slope times X plus some? Why intercept? So, yes, it's linear now because it's linear. We're supposed to say what the slope is. So this right here was the slope, the number that we multiplied by X So the slope is M one times m two
View More Answers From This Book
Find Another Textbook
03:02
Givenf(x) = x2 4x + 10,find the x-coordinates of all local minima using the …
04:27
Example When it is operating properly , a chemical plant has daily productio…
02:46
minimum; if any of f(x)=(x+2yx-1)' maximum and (15 pts ) Find absolute …
03:22
Consider the following functions_f(x) X + 8 Find (f + g)(x).g(x) x +…
01:27
Sketch graph of f(z) = 2c + 3
03:06
Find the values of sine cosine; tangent; cosecant; secant; and cotangent for…
02:03
Find the cosecant; secant; and cotangent of angle 8csc 0 =sec 0 =
If you already know laNl and Ivl; then the formula a Klv? gives a convenient…
