In-Class Problems 9/15/20211) Given the functions:1g(x) =f(x) = x² + 1x² +1Evaluate f • g(0)b. Evaluate gof(0)Find a formula for f • g(x)d. Find a formula for g o f(x)а.C.2) The graph of f(x)=x^2 is given first. Match each formula with a curve on the second graph-21+1(-x)² + 1AB.2-x? +13(-x)² – 14 -x2 – 1-445-2D

Note: According to bartleby guidelines only first question is to be answered. Repost other question.…

Answered: 1) Given the functions: f(x) = x² + 1 1…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Consider the following functions. f(x) = 1 x , g(x) = x2 − 4x Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x). (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x). (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using interval notation.)
Suppose that f and g are both odd. Which of the following functions are even? ☐ y = f(x)g(x) f(x) y = 12g(x) y = f(x) = g(x) y = g(x) ¹3 Which of the following functions are odd? y = f(x)g(x) f(x) y = 12g(x) y = f(x) = g(x) y = g(x)¹3
=, and g(x) = 4 – x² define (fo9(x) the domain of the three functions, f, g and f composite g. 3. Let f (x) = 2 X-3
2. Let f(x) = 2x + 1 and g(x) = a. Determine the domain and range of both f(x) and g(x). b. Find (g o f)(x). c. Determine the domain of (g o f)(x).
Find explicit formulas (in terms of x) for the following functions, and describe in words how the graphs of the following functions differ from f (x) = Væ. For example, the explicit form of g(x) = f(x)+ 2 would be g(x) = Vx + 2. a) g(x) = f(x) – 3 = The graph of g(x) is the same as the graph of f(x) shifted? by b) h(x) = f(x) – 7 = | The graph of h(x) is the same as the graph of f (x) shifted ? 이 by c) j(x) = f(x) – V3 = The graph of j(æ) is the same as the graph of f(x) shifted ? - by

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1) Given the functions: f(x) = x² + 1 1 g(x) = x² +1 a. Evaluate f o g(0) b. Evaluate g •f (0) c. Find a formula for f • g(x) d. Find a formula for g of (x)