Express the function F in the form fog. (Enter your answers as a comma-separated li f(x) and g(x).) F(x) = (x- 7)7 (F(x), g(x)) = ( %3D

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = lxl + 3.

A: g(x)=|x|+3= f(x)+3 So, this means f(x) shifted 3 units up to make g(x).

Q: Using the criterion of the first and second derivatives, find the graph of the function c) F(x) = x…

A: Topic = Functions

Q: Analyze the graph of f (x) = ln(x2 + 2x + 3).

A: The given function is f(x)=lnx2+2x+3

Q: 1. [Essay] Find the extreme values of the 3 function f (x) = V6x² – x³

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Q: ] B1(a): Find the value of k that makes function continuous at x = 4 | 3x + 6 5х — k f(x) = x > 4 x…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: At what value of x does the function f(x) = 3 x- x change from decreasing to increasing? %3D

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Q: Consider the function: f (x) = x³ + 3x2 – 45x + 3 Step 1. Find the critical values of the function.…

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Q: Where does the graph of the function h (x) = x* + 3z² – 4 cross the x-axis? %3D O x= -1 and x = 1 O…

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Q: f ( x ) = 5 x + 2 at x = 7

A: Given: f ( x ) = 5 x + 2     To determine: value of f(x) at x = 7 i.e, f(7)

Q: F(x)=6x+6/x-9  f^-1(x) =

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Q: 11) Find the point of inflection of the graph of the function. f(x) = xVx – 27 %3D

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Q: 4. Given the functions g(x) = 5x +1 find g'(x) 2х -6

A: The given function is: g(x)=5x+12x-6

Q: Use the graph of f(x) = 3√x to obtain the graph of h(x) = 3√-x.

A: Obtain the graph of hx=-x3

Q: 3 na of the function f(x) =x3 -x2 - 6x + 12, -3 < x< 3. 2

A: Solution of the problem as follows

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: The given function is, R=-14x3+3x2+8 The interval is 0 ≤ x ≤ 8

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Given that: Rx=-14x3+3x2+8,        0≤x≤8…

Q: Does y = e9-x* – 2 exist? What is the domain & range of the function if it does exist?

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Q: x2 – 4 3. Do you agree with the contention that the functions f(x) = x + 2 and g(x) х — 2 are the…

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Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Solution

Q: 4. What is the domain and range of the parent function, and what is the domain and range of f (x)?…

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Q: f(x) = x^2 - 12x + 35 g(x)= x -5 (f+g)(-4) = (f-g) (-5) =

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Q: Solve the Problem. Approximate the curve of the given function f. f(x) = x³ + 7x² – 5x

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Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: 2 A2. b. Given the two generating functions f(x) = and g(x) = find- (1-x)2 (1-x)2 the generating…

A: We have to find required generating function.

Q: Find (fog)(x) where f(x) = 2x^2+x+2 and g(x) = 3x-1

A: We have to find (fog)(x).

Q: Solve the Problem. Approximate the curve of the given function f. f(x) = x³ + 2x2 – 15x

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Q: The location of the point of inflection in the graph of the function y = x ln x is

A: Given: y = x ln x

Q: Find the absolute maximum value of the function f(x) = 5(x - e

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Q: ction. TABLE MUST BE COMPLETED 3. g(x) = -x+1 AY g(x) -2 -1 -> 1 2.

A: function           g(x)=-x+1 we have to complete table and draw graph of function

Q: The graph f(x)- x² is transformed to create m(x) - f(bx)², where "b" is less than 1 but greater than…

A: Given function is                                                                         f(x)=x2…

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = 2lxl.

A: Solution: Consider the graph of function f(x) = x which shows in the pink color below. Now, define…

Q: Question What is g'(x) when g(x) = ln (x³ + 2x² + 2x)?

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Q: x2 – 4 3. Do you agree with the contention that the functions f(x) = x+ 2 and g(x) х— 2 are the same…

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of…

A: We will use the give solution as we are instructed.

Q: Find the point on the graph of f (x) = 4 − x2 that is closest to the point (0 , 1).

A: Given function f(x)=4-x2 To find the point on the graph of f which is closest to the point (0,1)

Q: f(x) g(x) = 3x – 5 Зх — X + 5'

A: Solution

Q: x2 – 4 3. Do you agree with the contention that the functions f(x) = x + 2 and g(x) x - 2 are the…

A: No, the functions f(x)=x+2 and g(x)=x2-4x-2 are not same in every aspect. Two functions f(x) and…

Q: (fog)(x). f(x)=x2+4 and g(x)=x2-7

A: Given data:   The first function is f(x)=x2+4. The second function is g(x)=x2-7.   The expression…

Q: 25 Given the function f(x) = x°+ x° + x*, find all x-values where f has an inflection point.

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Q: Find (fog) where f(x) = 2x^2 +x +2 and g(x) = 3x -1

A: We can find the answer as below.

Q: The graph of function f(x) = x – 9x² + 7x is concave upwards on (-0, c0) O (-∞, 3) O (3, 0) O None

A: Given function is  f(x)= x^3 - 9x^2 + 7x

Q: B1(a): Find the value of k that makes function continuous at x = 4 4x + 6 x > 4 f(x) = 6x – k x < 4…

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Q: 6. f(x) = x² – 4x, g(x) = 2-3E %3D a) (f - g)(-5)

A: Given: f(x)=x2−4xg(x)=2−3x

Q: 2. f(x) = 6x - 1 slope: of f = of g y-intercept: of f= of g=

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Q: the intervals where the function is increasing and the interval is decreasing  f(x) = 1/3x^3 - 5x^2…

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Q: 2) f(x) = x + 5 glx) = -x - 5x Find f(g(-4))

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Q: 3x2 f(x)3D f'(x) (x+2)? ' 12x f"x) = – 24(x-1) (x+2)3" .Find x- and y- intercepts of the graph of f.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: 6. What is a point of inflexion ? Does f(x) = x' have a point of inflexion at x = 0?

A: Given that,

Q: unction. g(x) = 4x2- 3x %3D g(x + a) - g(x) =

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.