Consider the function f (x) = ||x – 3| – 2| What is f(-7.2)

Q: function f is defined by f (x) = |x – 2|- 3. If f(a) = f(0) and a > 0, what is the value of a ?

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Q: Consider the function f(x)=x^3-3x^2-9x+7 Find the values of x such that f'(x)=0

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Q: 3. If f(x) = x + 1, find f(3) and f(- 3). Is f a one-to-one function?

A: The given function is fx=x2+1

Q: Find f such that f'(x) = f(4) = 20.

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Q: 5. Sketch the function f(x) x(x - 3)(x – 4)

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Q: How has the function g(), shown below, been transformed from the parent function, f(x) = x² ? g(x) =…

A: We can translate a graph of f(x) right c units by subtracting c inside the function argument f(x—c).…

Q: Evaluate the function ( f/g)(0) for f(x) = x + 3 and g(x) = x2 − 2.

A: Given functions are fx=x+3 and gx=x2-2.   The objective is to find f/g0.   It is found by…

Q: Consider the functions f(x) = x +7 and g(x) = 27 - x2. (a) Use algebra to find the x-values where…

A: f(x) = x+7g(x) = 27 -x2calculating intersect points :f(x) = g(x)

Q: Let us try to find where a function is increasing or decreasing given the following.  f(x) = x3−4x,…

A: Topic:- calculus

Q: Express the function in the form f°g. H(x)= / 4 + /x %3D

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Q: 12 Let f be a function such that f(u) du -5. What must be the value of æf (3x²) dæ?

A: The objective of the question is evaluate the integral.

Q: Finf two functions f and g such that (f ∘ g)(x)=h(x). H(x)=1/(x+2)

A: Using composition of functions ,

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

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Q: Q1: - Find C that make the function f(x) continuous f(x) = {| x +3 Сх+ 6 x 2

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Q: Find the function such that f'(x)  = f(x) (1- f(x)) and  f(0)  = 1/2

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Q: Evaluate the function ( f − g)(1) for f(x) = x + 3 and g(x) = x2 − 2.

A: To Evaluate the function ( f − g)(1). Given that the functions are f(x) = x + 3 and g(x) = x2 − 2.

Q: f(x) = -x² – 2x – 1o %3D

A: Solution: Given function is      f(x)=x2-2x-10

Q: snip

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

Q: What describes a true relationship between the f(x) and g(x) over the interval [2,4] 4 f(x) 1 3 7 9.…

A: Follow step 2 .

Q: Find  f' in terms of g' .

A: we have to find f in terms of 'g'. f(x)=ln|g(x)|

Q: Express the function H in the form f(g(x)). Use non-identity functions for f(x) and g(x).…

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Q: Evaluate the function ( f + g)(−1) for f(x) = x + 3 and g(x) = x2 − 2.

A: For two functions f and g, we have, f+gx=f(x)+g(x)

Q: Find the range of the function f(x,y)=-579+841/3971-x²-y² . 19 11

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Q: Find the most general function F such that F'(x) – 14. x5 || - F(x) = Σ

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Q: Determine the values of x for which f (x)=x",x >0 is increasing or decreasing.

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Q: Consider for what value of x are the function, f(x) = is defined? 5-x

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Q: The notation f(x) describes the value of______ at________.

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Q: Evaluate the function ( f + g)(2) for f(x) = x + 3 and g(x) = x2 − 2.

A: Solution:f(x)=x+3    and     g(x)=x2-2To find (f+g)(2):Formula:(f+g)(x)=f(x)+g(x)

Q: Find the interval where the function is increasing, decreasing, concave up, concave down and the…

A: the interval where the function is increasing, decreasing, concave up, concave down and the…

Q: Consider the following functions. f(x) = x + 5 g(x) = 2x - 3 Use the functions to find (g o f)-1,

A: Here we need to find the Inverse of the required function. To find inverse initially we find…

Q: Consider the following function: f(x)=x^3+2x^2-8x-3 b. Find the extreme values ​​of f.

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Q: Express the function in the form f ∘ g.

A: Given,  Fx=x-95   Since the formula for F says to first subtract 9 and then take the power of 5, we…

Q: Consider the function f(x) = /sqrt{x-9}. For that function, can you find the expression for (f(x -…

A: The given function  fx=1x-9 fx-h=1x-h-9 fx-h-fx=1x-h-9-1x-9                              Multiply…

Q: R(x) = //x – 1 X.

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Q: Refer to the function f(x)=[x] determine f(-4.1)

A: Greatest integer function

Q: Q4. Let f(x)=e(x+l) > Find f(x). > State the domain of f¯'(x)

A: Given: The given function f(x)=ex+1

Q: The domain of the function f(x) = cosh + 19) + cosh¯1( 19 - ) is [-378 , A], Then The value of k =…

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Q: 8 Find the domain of the function f(x) x-7

A: Domain:- All those values of x such that f(x) exist.

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: f(x) = What is f(-1 -2

A: When x =-1, f(x) = 2x+3

Q: Consider the functions:  f(x)=3x and g(x)=x+5                              find the value of (f°g)-1…

A: Given:

Q: Find f such that f'(x) = x - 5 and f(0) = 3. f(x) = %3D

A: Given: f'x=x2-5 f0=3   Integrate the function with respect to x. ∫f'x=∫x2-5dxfx=∫x2dx-5∫1dx=x33-5x+C

Q: The notation f(x) describes the value of at

A: The notation f(x) describes the value of_________ at _______.

Q: ind the x coordinate of the point of inflection of the function f(x)=x3-x2-x+1

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Q: Find the interval where the function f (x) = x^(2/3) is increasing and where it is decreasing.

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Q: 2. Let f be the function defined by 9) f (x) = x²+2x+1 ,Find: -f (3) +fヒ3)

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Q: Let f be the function defined by f(x)=x3+x2+x. Let g(x)=f-1(x), where g(3)=1. What is the value of…

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Q: se the functions f(x) = x+ 4 and g(x) = 2 − x^3 to find g^{-1} ∘ f^{-1}

A: Given, f(x) = x+ 4g(x)=2−x3

Q: 2. Given the function f (x) = Vx, sketch the parent function and f(x) = -2/(x + 3)+4 by using…

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