Suppose the functions f and h are defined as follows; find f/g and f + g then give their domains using interval notation

Q: Find all points where the function is discontinu 2. O A. x= -2, x 0 O B. x= -2, x= 0, x=2 O C. x-0,…

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Q: Suppose that the functions of f and g are defined as follows. Find f•g and f+g then give their…

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

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

A: We have given two functions : g(x)=4x,x≠0 h(x)=x2-8 We have to find the composition functions g.gx…

Q: Let f(x) = x² – 1 and g(x) = x – 2. - - Find the following: f(x) · g(x) =

A: f(x)=x2-1  ,   g(x)=x-2f(x).g(x) =(x2-1).(x-2)              =x3-x-2x2+2              =x3-2x2-x+2

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

A: Given that fx=-2x+5gx=3x+2To find :f-g and fg and their DomainSolution :fx-gx=-2x+5-3x+2Domain of…

Q: - Find and classify the discontinuities of the function f(x) x2 - 1

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Q: Suppose H (x) = (2-2x)*. Find two functions f and g such that (f og) (x)=H(x).

A: H(x)=(fog)(x)=f(g(x))

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

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Q: Let f be defined by the graph to the right. Find VK0.3)+ 1(1.1) - x) +1(-1)+1(2)-1(-*)

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Q: Find the difference quotient of f; that is, find f(x + h) - f(x) / h , h ≠ 0, for each function. Be…

A: Given: f(x)=x2-x+4To find:f(x+h)-f(x)h=?   h≠0

Q: Define the domain of f −1 as the range of f.

A: Domain of inverse function

Q: Find the difference quotient of f; that is, find f(x + h) - f(x) / h , h ≠ 0, for each function. Be…

A: f(x)=2xx+3

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: Determine whether each of the following statements is true or false, and explain why :If ƒ′(x) >…

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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: A function  f is defined by f(x) = { 1-x     , if x<=1            x^2    , if x>1 Evaluate…

A: The given function is fx=1-xif x≤1x2otherwise.   Note that 0 and 1 satisfies the condition x≤1.…

Q: Consider the following functions. f(x) = x2,   g(x) = √(x-7) Find the domain of (f ∘ g)(x) in…

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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: If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x). %3D

A: Given data:   The expression for the first function is u(x)=f(x)g(x). The expression for the second…

Q: Define H(x) as a piecewise defined function and evaluate H(1), H(2), H(3), H(0) and H(-2) given by,…

A: We have to solve the problem by just putting the value in the piecewise function.

Q: Given f(x) = √x and g(x) = |x − 3|, find g/f . Determine the domain for each function in interval…

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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: Find the domain (in interval notation) of the following functions

A: Given function is,

Q: Find the difference quotient of f; that is, find f(x + h) - f(x) / h , h ≠ 0, for each function. Be…

A: Given : f(x)=1x2   Use different quotient formula f(x+h)-f(x)h Lets find f(x+h)…

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: specify the domain for each of the functions. f (x) = √(1 - x2)

A: The domain of the function is the set of values of x for which the values of the function are…

Q: Find a specific domain and express it in interval notation For f(x)=x^2-64 and g(x)=2x+3, what is…

A: The given functions are,

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) = /72 – x and g(x) = x² – a x. Give the domain of f og using interval notation.

A: f(g(x)) = ?

Q: q (x) =x-1 2. r(x) =2x´+2 Find the following.

A: Given functions: q(x) = x – 1 r(x) = 2x2 + 2

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: 0.4x + 0.2, x 2 -

A: The given function f(x) is, f(x)=0.4x+0.2x<21x=21.8x-2.6x>2 A function is said to be continues…

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: Let f:R → R be the function with rule f(x) = 4x – 3, and let g:R → R g(y) = (y + 3)“. Completely…

A: Introduction:   A composite operation is one that's hooked into another operation. By aggregation…

Q: 2x+5 g (x) =3x-4

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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: Assume that g is a twice-differentiable function (that is, g' and g" exist) and f(x) = x g(x²).…

A: The given function fx=x.gx2 Differentiate with respect to x using product rule…

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: Sketch the following function and discuss its continuity and differentiability. |x² – 1| – 1, x 1

A: Given: fx=x2-1-1,                       x≤12x-3-x-2,              x>1 We want to sketch this…

Q: Find the difference quotient of f; that is, find f(x + h) - f(x) / h , h ≠ 0, for each function. Be…

A: The formula for the difference of quotient is f(x+h)-f(x)hwhere h is not equal to zero suppose h is…

Q: t(x) =             1                        64 + x^2

A: Domain : -∞, ∞

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

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Q: f (x) = x³ + 4x² + 4x + 2

A: fx=x3+4x2+4x+2 Now let c be any real number. Then, fc=c3+4c2+4c+2 &…