Suppose that the functions of f and g are defined as follows. Find f•g and f+g then give their domains using interval notation

Q: Suppose that the function fis defined, for all real numbers, as follows --x-1 2*-1 (x-1)²-3 f(x)=< 4…

A: we need to find out the values of the function at the given points.

Q: Suppose that the function f is defined, for all real numbers, as follows. 3x-1 if x<-1 f (x) =- -x+1…

A: Given: The Piece wise function f(x)=-3x-1If x&lt;-1-x+1If x≥-1 To find: Graph the given piece wise…

Q: Suppose that the function f is defined, for all real numbers, as follows. 7x-1 if x 2 f(x)=- -2 if…

A: Consider a function f defined for all real values, such that: fx=34x-1if x≠2-2if x=2

Q: Suppose that the function fis defined, for all real numbers, as follows. 0. if x-1 Graph the…

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Q: Suppose that the function g is defined on the interval -2, 2) as follows. -2 if-2<x<-1 -1 if -1<x<0…

A: Suppose that the function g is defined on the interval [-2, 2). Now we have to find the values of g…

Q: A function f is ________ when, for each x in the domain of f, f(−x) = −f(x).

A: We have to fill in the blanks: A function f is ---- when, for each x in the domain of f, f-x=-fx. We…

Q: for all real nombers, as fllou) -7

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Q: Suppose f  is an odd function and is differentiable everywhere.Prove that for every positive number…

A: Since the function is differentiable everywhere, so the function is continuous too everywhere By…

Q: If f(x) = |x − 1| + |x + 3|, then discuss the continuity and differentiability of the function at x…

A: Consider the given function fx=x-1+x+3 First, check the continuity of the function at x=1 Since a…

Q: Suppose that the functions f and g are defined as follows

A: Given functions:

Q: Suppose that the functions f and g are defined as follows. 3x² +2 g(x) = /5x+4 Find f- g and f-g.…

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Q: Suppose that the functions f and g are defined as follows. f(x) = x² –x g (x) = 5x+2 Find f g and…

A: Given: fx=x2-x, gx=5x+2 for finding fogx we put gx in place of x in given fx so,…

Q: Suppose that the function g is defined, for all real numbers, as follows. if x#0 g (x)= 2 if x=0…

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Q: Suppose the functions f and h are defined as follows; find f/g and f + g then give their domains…

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Q: Suppose that the function f is defined, for all real numbers, as follows. -1 if x#0 f(x)= - 2. if x…

A: Graph of the function

Q: suppose that the function F is defined, for all real numbers, as follows:   Graph the Function F

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Q: f(x) =-x²+2x g (x) =2x+3 Find f g and f+g. Then, give their domains using interval notation.

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Q: Suppose that the functions fand g are defined as follows. f(x) = -3x+2 g(x) = 5x²+x Find f-g and…

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Q: Suppose that the functions f and g are defined as follows. f(x) =x+3 g (x) = /5x+1 Find and f+g.…

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Q: Suppose that the function f is defined, for all real numbers, as follows. if x2 Find f (0), f (2),…

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the value of f(0) so…

Q: Suppose f and g are functions with domain R. If both f and g are even but f+g is odd, then prove…

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Q: Suppose that the function fis defined, for all real numbers, as follows. 4 if x 0 f(x)D -1 if x=0…

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Q: Suppose that f (x), g(x), and h(x) are functions such that f (x) is Θ(g(x)) and g(x) is Θ(h(x)).…

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Q: Suppose that the functions g and h are defined as follows. g(x) = (x+3)(x-2) h(x) =x+2 (a) Find (b)…

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Q: A function f is ________ on an interval when, for any x1 and x2 in the interval, x1 &lt; x2 implies…

A: To fill: The blank of the statement. Given: The statement is "A function f is ________ on an…

Q: Suppose that f:R → R is a continuous odd function, such that 1 f(x) dx = 5 and -1 | f(x) f(x) dx =…

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Q: f (x) = x + 2x³ – x² – 2 %3D

A: Given: Determine if the given function is continuous at every real number f(x)=x4+2x3-x2-2

Q: Suppose that the functions f and g are defined as follows. f(x) = x+6 g (x) = x-3 Find Then, give…

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Q: Let f(x) = and g(x) = 2х -1 Compute (f o g)(x) and determine the domain in x-2 interval notation.

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Q: PLEASE HELP!!

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Q: Suppose that the function f is defined, for all real numbers, as follows. 3 if x + 1 f(x) = 2 if x =…

A: First decided that the given value of x belonging to which interval and than use that part of…

Q: Suppose that the function g is defined on the interval (-2, 2] as follows. 1 if-2<x<-1 0 if - 1<x<0…

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Q: Suppose that the functions f and g are defined as follows  f(x)=-3x+1 g(x)=4x^2-3x Find f*g and…

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Q: Suppose that the functions fand g are defined as follows. ге f(x) =/x+4 g (x) =4x-5x Find fg and…

A: Given: fx=x+4g(x)=4x2-5x

Q: Suppose that the function h is defined on the interval (-2.5, 1.5) as follows. -2 if -2.5<x<-1.5 -1…

A: We can answer all the three questions as below.

Q: Suppose that the functions f and g are defined as follows. f (x) = 5 - 2x2 g (x) = 7 -8x (b) Find…

A: f(x)=5-2x2g(x)=7-8xthereforef(x)g(x)=5-2x27-8xfor valid domain denominator should not be equal to…

Q: If c is a domain value for a function f and f(c) = 0, then x = c is called a _____ of thefunction.…

A: c is a domain value and f(c)=0

Q: Suppose that the functions fand g are defined as follows. f4) = 3x-4 g(x) =/4x-5 %3D Find f-g and…

A: Given functions are fx=3x-4gx=4x-5

Q: Suppose that the functions f and g are defined as follows. f(x) =x+3 g(x) =/5x+1 %3D Find- and f+g.…

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Q: if f(x)=x/x+4 and g(x)=1/x, find f o g and its domain in interval notation.

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Q: Suppose that the functions fand g are defined as follows. 5 f(x) = =, x + 0 g (x) =x²-9 Find the…

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Q: Suppose that the function f is defined, for all real numbers, as follov x-1 ifx# -2 f(x) = if x= -2…

A: Given  for x = -5

Q: Suppose that the functions f and g are defined as follows. f(x) = /x-1 g(x) = 2x-5 %3D Find f-g and…

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Q: Suppose that the function f is defined, for all real numbers, as follows. -3x-1 if x<-1 f(x) = {…

A: fx=-3x-1   if x&lt;-1-x-1     if x≥-1

Q: Suppose that the functions f and g are defined as follows. f (x) = (x+ 3)(x+3) g(x) = -x- 5

A: If there is a question that has more than 1 question and questions other than the first has subpart,…

Q: Let the functionf be defined as f (x) = 3 (a) Find the intervals on which f is increasing or…

A: Given function is: f(x)=x33-x22 Then this can be solved as follows:

Q: Let f and g be the function from the set of integers to itself, defined by f(x) = 2x + 1 and g(x) =…

A: Consider the two given functions. fx=2x+1 gx=3x+4   The composition of the functions f and g  is…

Q: Suppose that the function g is defined, for all real numbers, as follows. 1 x++5 if x -2 4 g (x)=-…

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Q: Suppose that the function f is defined, for all real numbers, as follows. 1 4 if x 1 f(x) = < - 2 if…

A: Here definition of a function is given and the function is defined for all real numbers. We have to…

Q: Suppose that the function f is defined, for all real numbers, as follows. if x+ 2 f (x) = < if x = 2…

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