Suppos the functions f and g are defined as follows. f (x) = 3x+4x g(x) = 4x+3 %3D Find f g and f-g. Then, give their domains using interval notation.

Q: The functionf is defined as follows. if x 0 3x f(x) 3D if x 0 (a) Find the domain of the function.…

A: This question is related to function . solve in step 2.

Q: A) Find the Domain of the following functions 1) f(x) = Vx- 3+ V5 - x

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Find the domain of the following function. Express the domain in interval notation. g(x) = V4 – x -…

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Q: 2. Write TRUE if the statement is correct. Otherwise, FALSE. 5x, x-1/2 Let g(x) = .At x = -1/2, the…

A: True or False  Consider the function: gx=5x       ,  x≤-1212x+1,  x>-12. Check continuity and…

Q: Find the domain of the following function. 9 f(x)=- 2 36-x The domain is (Type your answer in…

A: Use the definition of domain of function

Q: Let f(x) = 3x³ – 4x² – 6x + 1. a. The degree of the function is so the graph of the function has at…

A: The given function is f(x)=3x3-4x2-6x+1 ...................(1)

Q: Let f(x) = x2 + 6x and g(x) = 9x2 − 3. Find the function. f + g (f + g)(x) =    Find the domain.…

A: Consider the functions

Q: Consider the following R2→ R function: d) Find and graph the interior, the boundary and the closure…

A: Given function f:ℝ2→ℝ is defined by  fx,y=9-x2-y2 The function is defined for all x,y∈ℝ2 such that…

Q: Given the function f(x) = x²e®#, Determine the open interval(s) where the function is concave up…

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Q: Find all discontinuities of f(x) = +5x Are they removable or not? %3D 3-25x

A: The function f(x) is, f(x)=x2+5xx3-25x=x(x+5)x(x2-52)=x(x+5)x(x-5)(x+5)=1x-5 The denominator of the…

Q: Q1. Consider the function f(x) =-x² + 4x – 2. a) Sketch the graph of f in the interval [-1,5].

A: Givenf(x)=-x2+4x-2 To sketch f on [-1,5]

Q: practice question 19

A: Given:

Q: The function f is defined by the following rule. f(x) = 2* Find f(x) for each x-value in the table.…

A: Find inverse of L. Let x=L(t)

Q: Let  f(x) = 4x + 3  and  g(x) = 7x − 6.  Find the function. f/g (f/g)(x) =          Find the…

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Q: Find all values of x where the function is discontinuous. g(x) = e2x-3

A: It is known that every exponential function is continuous on the interval -∞,∞.

Q: po) Suppose F(x) = f(x)g(2x). If F(1) = 3, f'(1) = 4, g(2) = 2, and g' (2) = 6, find F'(1). %3D…

A: Here, the given information are: F(x)=f(x)g(2x), f(1)=3, f'(1)=4, g(2)=2 & g'(2)=6 Using the…

Q: A) Define the term function. B) Find fo g (x) if f(x) = 4x-11 23x+17 and g(x)= 3x²-7 5x²+2

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Q: Suppose that the function f is defined, for all -2x +3 if x <2 f(x) = x-3 if x22 Graph the function…

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Q: (a) write formulas for ƒ  g and g  ƒ and find the (b) domain and (c) range of each.

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Q: Q1. (a) Find the domain of the functions f(r) = V(1 – r)(x – 3) and g(x) = In(x – 2)(5 – x). Also…

A: Given, The functions

Q: Let f(x) = x2 + 3x  and g(x) = 3x2-1. Find the function    f . g    (F.g ) (x) =    Find the domain…

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Q: Let f (x) = -4x² and g (x) = 5e" . What is the range of go f (x)? Express your answer in interval…

A: The functions area given by fx = -4x2 gx = 5ex To evaluate: The range of the function g∘fx

Q: 6. Given the functions y = f(x) and y = g(x), determine () (2) and determine the domain and range of…

A: Given two functions f(x) and g(x): Graph of function f(x):

Q: Find the domain of the function. 9. if x=2 f(x) = x2 if 1<x< 2 The domain is (Type your answer in…

A: Domain

Q: Given the function f(x) = (x- 14)², xs 14, (a) Find f (x). (b) Graph f and f1 in the same…

A: Consider the given: fx=x−142,x≤14Let,y=x−142For…

Q: f(x)= √x + 2 x² – 3x - What is the domain of the function f? Use interval notation to express the…

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Q: Find the domain of the functions f(x) = V(2 – x)(x – 7) and g(æ) = In(r² – 4)(3– æ). Also determine…

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Q: the function g is defiend by g(x)=X2-7. Find g(3y)

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

A: First draw the graph of line; L1: y = 2x -1 when x &lt; 1. The slope of the line L1 is 2, which…

Q: B] Find the domains of the following relations. Write them in interval notation. 1) f(x)=√x-9 2)…

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Q: 2x4 -Vx+x 7xcsc² x+1 Find all functions g such that g'(x)=4sinx+

A: g'x=4sinx+2x4-x+xx-7xcsc2x+1x

Q: For f(x) = 4x3+ x4/3. determine the intervals where the function is %3D increasing

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Q: Suppos the functionsf and g are defined as follows. 1 f(x) = 2x+3 g (x) = 3x²-5 Find f-g and f.g.…

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Q: x+6 and g (x) = 4x- 15, find the composition f og and specify its domain using interval notation.…

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Q: Find a and b so that the function S8x- 6a2 + 2, x -2 is both continuous and differentiable. a = 108…

A: Given that , fx=8x3-6x2+2 ,    x&lt;-2ax+b ,               x≥-2 is continuous and differentiable.

Q: x² + 5x + 7 On what domain is the function f(x) continuous? x + 7

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Q: Precal: Find gog  f(x)=4x       g(x)=x^4 Please show the steps

A: Obtain the composition of g(g(x)) as follows.

Q: The domain of the function fx)= sech G-1) is (4,8]. Then k ...

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Q: Let f(x)=16x+1,  −4≤x≤1 The domain of f−1f-1 is the interval [A,B] where A=?? where b=???

A: fx=16x+1,  -4≤x≤1 When x=-4, f-4=16-4+1=-63 when x=1, f1=161+1=17 Therefore the range of fx is -63,…

Q: Find f', f'', f''' and f(4) for the function. f(x) = x* – 3x - 2x-1 4 f'(r)

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Q: Let f(x)=(x-3)/(x2-1). Please don't use any technology for these. a) Do you expect f to have any…

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Q: Find the differnce quotient with steps  use the function f(x)= x^2-16 and using formula…

A: Given that f(x)=x^2-16 differnce quotient f(x+h)-f(x)/h

Q: A piecewise function f(x) is given as | 2x². S(x) = [x+2, 45x<0. x20 a) Sketch the graph of f(x). b)…

A: Since function is piecewise defined so draw each graph in the given region only.

Q: 2. Find the domain of the following function. State your answer in interval notation. 2х- 1 + vx 2.…

A: Given function:

Q: Let  f(x) = x2 + 3x  and  g(x) = 3x2 − 1.  Find the function. f · g (f · g)(x) =        Find…

A: Given function is

Q: The function f is defined by f (x) =2x-7. Find f (5x). r(5x) = 0 %3D

A: In this question we need to find a function f(5x) .  To find f(5x) we replace x by 5x in the given…

Q: Q1) B- IF f(x)=√4-x, g(x)=x², Find : fog(x) draw them & determine (domain ,range). 9 gof(x),Then

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Q: Find f+g, f-g, fg and f/g and their domains.  f(x)=2/x , g(x)=4/x+4  Answer should be:

A: we have given f and g  We have to find the value of f+g, f-g, fg,f/g and their domain