Find f.g and g. f. f(x) = Vx +7, g(x) = x2 (a) f.g (b) g.f Find the domain of each function and each composite function. (Enter your answers using interval notation.) domain of f domain of g domain of f. g domain of g.f

Q: Find the domain of the function. G(x) = √(1 - x)

A: To find the domain of the function

Q: Determine the open intervals on which the function is increasing, decreasing, or constant.…

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Q: The domain of the function f (x) = x/x - 2 consists of all x ∙ 2.

A: We have to find domain of the function fx=xx-2 We can see this function is defined for all real…

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

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Q: 2. Let f(x)=2x²- x- 3 and g(x)=x+1. Find each function and determine its domain. 2a. (f+g)(x) 2b.…

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Q: find functions f and g so that f ∘ g = H.

A: H(x)=2x+1

Q: If f(x)=x-15 and g(x)=x+2, then (g/f)(x)=x+2/x-15. What is the domain of (g/f)(x) in interval…

A: The answer  given below:

Q: 1. Find the domain of the following function and express it using interval notation: X +1 h(x)= -x-6

A: Solution: The objective is to find the domain of the given function

Q: f(x) = xe-x²/128 [-2, 16]

A: Let's find.

Q: 3. Determine the function f (x) for which f' (x) r3 II

A:

Q: The function f (x) is defined below. What is the end behavior of f (x)? f (x) = -1120x + 120x2 -…

A: Given, f(x) = -1120x + 120x2 -10x4 + 80x3 +1280

Q: Find the domain of the function using interval notation f(x) = -2x(x-1) (x-8)

A: The given function fx=-2xx-1x-8 we have to find the Domain of the function. Domain:     Domain of…

Q: Determine the open intervals on which the function f(x) = √(x2 − 1) is increasing,decreasing, or…

A: Given: fx=x2-1 For finding increasing, decreasing interval for given function, we draw graph of it…

Q: Consider f(x) =x² – 3x. In which interval is the function decreasing? [-1,0] [3,4] [0,1] [2,3] [-1,…

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Q: snip

A: Find the domain of the function.         fx=x-1x+4

Q: Find the open intervals on which the function is increasing or decreasing.

A: A function f(x) is:  (i) increasing on an interval (a, b) if f'(x)>0 for all elements of a, b.…

Q: 16 The range of the function f (x)=6x-8 is all integers numbers. صواب O خطأ

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Q: Let f(x)= 2/x-3. Let g(x)= 5/x+2. Find the domain of f/g

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Q: 5. Find all points of inflection of the function g(x) = x²e¬x.

A: using double derivative

Q: f(x) 2-3r 1+2z

A: Given function

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

A:

Q: a) Find the domain and sketch the graph of the function. f(x) 5 , G(x) = (1-x 12-x o's xS1 0sxS1 1<…

A: Since you are asking multiple questions. We are answering only the first question for you as per our…

Q: 1 Find the domain for each function, stating your answer in interval notation. (a) f(x) = 4x - 3…

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Q: Find the domain of the function in interval notation  g(x)= x/ x^2-49

A: We need to find out the domain of the function given.

Q: An open box is made by cutting identical squares from the corners of a 16-inch by 24-inch piece of…

A: a. Express the volume of the box, V, as a function of the length of the side of the square cut from…

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing.…

A:

Q: Determine the intervals on which the function f(x) = x (x2 - 175) is increasing or decreasing. 1/3…

A: Given function, fx=x13x2-175 Function f(x) increases where f'(x)&gt;0 Function f(x) decreases where…

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: Find the domain of the function.

A: Domain : All possible value of x in f(x)f(x) = 4x +4+8x-14

Q: let f(x)= -4+3e^x what is the range of f(x) using interval notation? what is the domain of f(x)…

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Q: (a) By sketching the graph of the function f(x) = x³ + x² – 1, show that the equation f (x) = 0 has…

A: The root of the equation is 0.755 Also it is evident that it is lying between 0 and 1

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

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) = V x2 - 1

A:

Q: Define the domain of f(x) x + 16 x² + 10x + 21 Use interval notation for your answer. The domain of…

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Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

A:

Q: Find f+ g, f- g, fg, and f/g and their domains. f(x) = 3 - x2, g(x) = x2 - 4

A: fx=3-x2, gx=x2-41 f+gx=fx+gx2 f-gx=fx-gx3fgx=fx.gx4fgx=fxgx

Q: What is the domain and range of the function? Sketch the domain. f(x,y) = -(ln(x2+y2-9))2-9

A: We need to find the domain of the given function. Note that "ln" is defined only for positive…

Q: Express the function,h(x) = (2x - 5)3 as a composition of two functions f and g so that h(x) = (f ∘…

A: Given, hx=2x-53

Q: Find the absolute extrema of the function g(x) = -10x/x^2+9 on the interval (-5,2)

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Q: 1. For the function f(x)= Vx-2 x-5 a. Evaluate f(2).{ 2-2 b. Evaluate f(0). 2-5 c. Find the domain…

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Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = 3 - x2,    g(x) = x2 - 4

A: Given f(x) = 3 - x2,    g(x) = x2 - 4 To find  f + g, f - g, fg, and f/g and their domains.

Q: Graph the function f (x) = x3 − x 2 – 6x to estimate the local extrema of the function. Use these to…

A:

Q: .1.Find the natural domain and range of the function f (x)=

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Consider the function g(x)=8x'(x-2)° . a) Find the intervals of increase or decrease.

A:

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: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: Starting from the left, we see that the curve goes downwards from -∞ to -1, so the function is…

Q: Find the open intervals on which the function is increasing or decreasing.        h(x) = 12x − x3

A: Given function - h(x) = 12x-x3let's find the critical point of the function h(x) , by h'(x) =…

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.