Is the following function one to one? f(x) = x³

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: A function f(x) is given as follows: 2x + 1 f(X)* f(x) = Зх-1 f-(1) =?

A: f(x) =2x+13x-1 Weh have to find f-1(1)

Q: Given the following function f(x) = x´ - 2x, evaluate and simplify Lx+h)-f(x).

A:

Q: Which of the following is true for the function f (x) given by

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Q: Evaluate the following function when x+3 f(x) = 2x - 1

A: The value of the function x=x+3 is given by f(x+3) which is found by substituting x+3 is the…

Q: Given the function f(x) =

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Q: Consider the following functions. f(x) =  1 x ,   g(x) =  3 x + 3 Find  (f +…

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Q: a function Is defined as f (x) = 2x +3, find the value of f (4). E (4)

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Q: For what value of x is the function f(x)=4/ x2-x-12 not continuous

A: Topic-continuity

Q: Consider the following function f (x) = 2 |2 - 2|- la 4| What is f(35)

A: Since you have posted multiple questions, we will answer the first question. If you want the…

Q: 1. Differentiate the following functions: a) f(x) = 43x²

A: We have to differentiate of the given function

Q: Given the following function, which table shows correct values of f(x)? f(x) = -2x + 1

A: f(x) = -2x + 1     f(0) = 0 + 1 = 1 f(1) = -2 + 1 = -1 f(2) = -4 +1 = -3 f(3) = -6 + 1 = -5 f(4) =…

Q: Differentiate the following function. f(x) = x° e 9x f'(x) =D

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Q: Differentiate the following function. 6 f(x) = 12 e

A: Our Aim is to differentiate the function given below:f(x)=12ex6 -(i)

Q: Consider the following function. g(x) = x2⁄3 If a ≠ 0, find g′(a).

A:

Q: Can a function such as f (x) = 53x be written in the form f (x) = bx? If so, what is b?

A: Comparison of the functions helps to determine the validity of the statement. The given function is…

Q: What kind of functions is the following function f(x) = :? (x2-1) %3D

A:

Q: Consider the following functions. f(x) g(x) = 2x – 5 X + 5

A: Given: The functions are given by fx = xx+5 and gx=2x-5

Q: Given the one-to-one function defined by f(x) = Vx – 4 + 1- write an equation for f -1(x).

A: The given one-to-one function is To find the inverse of f(x), replace f(x) by y. Now interchange…

Q: Express the following functions in terms of function f where y=f(x). The values of function g are…

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Q: Evaluate the following function at the indicated values. F(x) = 3* - 3

A: Given function

Q: Find the following for the function f(x) = x/ x^2 + 1 -f(x) = _____ f(x+5) = ____ f(2x) = _____…

A: Topic - functions

Q: Which of the following functions are 1-to-1? f(x) = x² + 2x 3, g(x) = 4x – 1, h(x) = |2x +2| %3D

A: Only  g(x) is one to one function.... Concept: If the derivative of given function is strictly…

Q: Consider the following function f(x)= - 3x2 + 5x – 2 where x€ (-x, +0). Find the following:

A: Here we have to find the inflection point of the curve f(x): inflection points fx=x33−3x2+5x−2

Q: A function f(x) is given as follows: 2x +1 f(x) = 3x - 1 f-(1) =?

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Q: Determine f (x- 1) for the following function.

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Q: e following three functions will be largest for large values of x? (A)f(x)= x2 (B)r(x)= 4-x…

A: GIVENf(x)=x2,r(x)=4-x,h(x)=x16

Q: Suppose f"(x) = 0, what can you say about f(x)? Write it in general form.

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Express the function h(x)=1/x+7h in the form f∘g. If g(x)=(x+7), find the function f(x).

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Q: The function h(x) ==x-1 represents the composite h(x) = f(g(x)). If f(x) = 2x – 1, what is g(x)?

A: Please refer the attached image for complete solution. Given : hx=43x-1, hx=fgxfx=2x-1To calculate :…

Q: Is the following function even, odd, or neither? Justify your answer x2+4 f (x) = х3—7х

A: For function to be even:  f(-x)=f(x) For function to be odd : f(-x)=-f(x)

Q: Consider the following function. f(x) = x4 + 4x3 + 12 (a) Make a sign diagram for the first…

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Q: Evaluate the following function at the indicated values. H(x) = 2×

A: {a}. H{-2}= 2-2 =0.25

Q: Find f(x+h)-f(x) given the following function.f(x) =-9x2-2x

A: f(x) = -9x2 - 2x Hence, f(x + h) = -9(x + h)2 - 2(x + h) = -9(x2 + 2hx + h2) - 2(x + h)

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

A:

Q: In reference to the following function: f(x) = x^2 + 7x + 13 / x + 4 What is f’(x)?

A: Given problem:- f(x) = x2 + 7x + 13/x + 4 Find:-f’(x)?

Q: Which of the following describes a true relationship between the functions f(x) = (x- 3)2 +2 and…

A: We have the following graph

Q: Which of the following is not the test interval of the function f(x) = 1/x +2x

A: The given function is f(x)=1x+2x Differentiating the given equation with respect to 'x', we get…

Q: For what values of x is the function f(x) = x* - 2x? strictly increasing?

A: fx=x4-2x2 Differentiating with respect to x, we get f'x=4x3-22x=4x3-4x

Q: Differentiate the following function. f(x) = 2e2x f(x) = 2 e (2e2x) =]

A: Given: fx=2e2x We know that ddxekx=kekx                                                          ..1

Q: What is the new function for g(x)

A:

Q: Consider the following functions f (x) =x² – 1 and g (x) = 2 – 2 Evaluate fog(-4)

A: Given data: fx=x2-1 gx=2-x Solution: Calculation of g-4 g(x)=2-x g(-4)=2-(-4) g(-4)=-6

Q: Express the function h(x)=1x+7 in the form f∘g. If g(x)=(x+7), find the function f(x)

A: Given,

Q: Consider the following function. f(x) = { 35 4x – 1 if x 1

A: We will use the fact that

Q: Find f-'(x) for the following function: f(x) +5 x +3 %3| ƒ-'(x) : 1 2]

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Q: Find the ranges of the following functions: f(x) = 1+[x]

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Q: Determine h(x- 1) for the following function. - 2x h(x) : x² + 2x 15

A: We will plug x-1 in place of x.

Q: Consider the following functions. f(x) = x and g(x) = x2 – 10 Step 4 of 4; Find -(-2).

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Q: For the following functions find f(-2), f(-1), f(0), and f(1) f(x)=x3

A: Given that - Function,f(x)=x3   .....(1) Now find out- f(-2), f(-1), f(0), f(1) =?