If (x) = ln x and g(x) = 4 - x 2 , find the functions
Question:
If ƒ(x) = ln x and g(x) = 4 - x2, find the functions ƒ ∘ g, g ∘ ƒ, ƒ ∘ ƒ, g ∘ g, and their domains.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (6 reviews)
To find the compositions of the functions we need to substitu...View the full answer
Answered By
Isabel Seraspi
I have experience teaching math, science, and English to students of all ages. I have also worked as a tutor in a college setting, helping students with their homework and preparing them for exams.
I believe that tutoring is a great way to help students learn. It allows students to get one-on-one help with their studies, and it gives them the chance to ask questions and get immediate feedback. Tutoring can also be tailored to the individual needs of the student, which is why I believe it is so effective.
I have seen firsthand how tutoring can help students improve their grades and confidence. I have also seen how it can help students who are struggling with a particular subject. I believe that tutoring is a great way to help students learn and succeed in school.
0.00
0 Reviews
10+ Question Solved
Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
Students also viewed these Mathematics questions
-
If and f(x) = ln x and g(x) = x2 - 9 find the functions (a) f o g, (b) g o f, (c) f o f, (d) g o g, and their domains.
-
In Exercises 1-2, (a) determine the domains of f and g, (b) simplify f and find any vertical asymptotes of the graph of f, (c) complete the table, and (d) explain how the two functions differ. 1. f...
-
If f(x) = In x and g(x) = x2 9, find the functions f o g, g o f, f o f, g o g, and their domains.
-
Scandinavo Ltd. is a CCPC that began operations on January 1, 2020 when it was first incorporated and a calendar fiscal period was chosen. Scandinavo Ltd. Is not associated with any other...
-
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n = 20, p = 0.6, x = 17
-
When subjects in a recent GSS were asked whether they agreed with the following statements, the (yes, no) counts under various conditions were as follows: Women should take care of running their...
-
For the models shown below, determine whether it is a linear model, an intrinsically linear model, or a nonlinear model. If the model is intrinsically linear, show how it can be linearized by a...
-
Hill Street Electronics has provided the following information for last year: Sales revenue . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $ 8,000,000 Store rent . . . . . . ....
-
8f Find error propagation. Use: f include the units in your answer. == 1 F delf delf delf {[(delxx] + [(dely) 6y] + [(12)z]} to solve. Be sure to delz
-
You are an Examiner for the Refund Integrity Program in the GST/HST Audit Division of the Canada Revenue Agency (CRA). Using sophisticated analytical tools, you are able to identify GST/HST returns...
-
If a composite g is one-to-one, must g be one-to-one? Give reasons for your answer.
-
If (x) is one-to-one and (x) is never zero, can anything be said about h(x) = 1/(x)? Is it also one-to-one? Give reasons for your answer.
-
Let BiL(X Y, Z) denote the set of all continuous bilinear functions from X Y to Z. Show that BiL(X Y, Z) is a linear space. The following result may seem rather esoteric but is really a...
-
Suppose a ball is dropped from height \(h=20 \mathrm{~m}\) above the ground. How long does it take to hit the ground, and what is its velocity just before it hits?
-
You are driving your \(1000-\mathrm{kg}\) car at a velocity of \((20 \mathrm{~m} / \mathrm{s}) \hat{\imath}\) when a \(9.0 \mathrm{~g}\) bug splatters on your windshield. Before the collision, the...
-
You are bicycling at a steady \(6.0 \mathrm{~m} / \mathrm{s}\) when someone suddenly walks into your path \(2.5 \mathrm{~m}\) ahead. You immediately apply the brakes, which slow you down at \(6.0...
-
You're rolling solid rubber balls on the kitchen floor. Ball 1 has a density of \(1.00 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}\) and a radius of \(25.0 \mathrm{~mm}\). Ball 2 has an unknown...
-
Figure P4.2 shows the velocity of a block of wood as a function of time. The block is sliding over a horizontal surface. Describe the physical processes that led to this graph. Data from Figure P4.2...
-
Explain and draw a graph to illustrate how declining consumer confidence influences aggregate expenditure and aggregate demand in the short-run.
-
Design a circuit which negative the content of any register and store it in the same register.
-
In problem, find the domain of each function. F(x) = 1/x 2 - 3x - 4
-
For the equation 3x 2 - 4y = 12, find the intercepts and check for symmetry.
-
A semicircle of radius r is inscribed in a rectangle so that the diameter of the semicircle is the length of the rectangle. See the figure. (a) Express the area A of the rectangle as a function of...
-
Suppose that an investor has a 6-year investment horizon. The investor is considering a 13-year 9% coupon bond selling at its par value of $1,000. The investor's expectations are as follows: 1. The...
-
You borrow $25,000 for a home repair. You can afford to pay back $800 a month. If you borrow the money directly from a bank, you have a 6.25% interest rate. How longwill it take you to pay off the...
-
The following table shows the maturities and prices for a sample of Treasury bonds in December 2019. Each bond makes a single payment of $100 at maturity with no coupon payments. What is the annually...
Study smarter with the SolutionInn App