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

Find $ f \circ g \circ h $.

$ f(x) = \tan x $ , $ g(x) = \dfrac{x}{x - 1} $ , $ h(x) = \sqrt[3]{x} $

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

01:26

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

Harvey Mudd College

University of Nottingham

Idaho State University

Boston College

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.

01:21

Find $f \circ g \circ h$

00:41

$\text { Find } f \circ g …

00:43

03:09

here we have the functions F, g and H, and we're going to find the composition f of G of h. Another way to write that is with parentheses, f of G of h of X. And when we read it that way we can see that H is the inside function. It's going to be substituted into G. So we're going to take the cube root of X and we're going to substituted into G. In both places, we see an X that gives us G of h of X. So G of h of X is the cube root of X over the cube root of X minus one. So that whole thing goes inside of death. So we take that whole thing and we substituted in to the F function in place of X. And that's going to result in the tangent of that Hubert of X, over the cube root of X minus one

View More Answers From This Book

Find Another Textbook

Suppose WC flip fair coin repeatedly until we have flipped four consecutive …

05:00

Assume that each of your calls to a popular radio station has probability of…

01:04

Question 1 (1 point) In a exponential distribution, the median is the same a…

02:53

Suppose that a certain country conducted tests of a certain type of bomb in …

06:46

4.12 (From [14, 26]) Warm-blooded animals use large quantities of energy [0 …

02:16

For the inverse of the matrixthe entry in the second rowand first co…

02:57

(1 point) Solve the equation in the interval [0, 2w] _ If there is more than…

03:39

point) Use the table of values for the functions p(x) and q(x) below to comp…

02:30

A farmer has rectangular garden plot surrounded by 200 ft of fence Find the …

01:38

In a certain industrial facility, accident occur infrequently. It is known t…