1. For each of the following functions, simplify the expression f(x+h)-f(x) as far as possible. In particular, you should be able to rewrite each expression without an h in the denominator.

Q: 16. For the function g(x) = x² + x – 1, find and simplify: 9*+h)-g(x) h

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Q: ex)= 2ex (2メ- fG

A: We have to find the point

Q: What value should be assigned to a to make the function S(x) = (x²-1, x<3 (2ax, x 23 Continues at…

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Q: f(x) = In(x)

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Q: Consider the following function: -4x – 7 f(x) : x +5 Step 1 of 2: At what x-value is the function…

A: The given function is fx=-4x-7x+5. Rational functions are continuous everywhere except when the…

Q: Find f'(x) for the following function: 6 + 4 x + 1 f(x) f- (x) = |

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Q: Consider the following function. (If an answer does not exist, enter DNE.) h(x) = (x + 1)7 − 7x − 3…

A: The given function is  h(x)= (x+1)7-7x-3. To find the interval where h(x) is increasing and…

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: -{ ( 2x² – 10x + 4 if x < 4 = (x)f - 2x2 – x + 6 if x 2 4 Step 1 of…

A: Given function f(x)  To find the x-value where function is discontinuous.

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

A: We have to differentiate of the given function

Q: Find (f• g)(4) for the following functions. f(x) = 4x-4 and g(x) = x2 + 1 %3D Answer How to enter…

A: Given -  f(x) = 4x-4 g(x) = x2+1 f o g = f(g(x)) f(x2+1) Put (x2+1 ) in place of x  4(x2+1)-4 =…

Q: Determine analytically if the following functions are even, odd or neither. f(x) = x 2 − x – 6…

A: topic - functions

Q: For the following function:{x^3 if − 2 ≤ x &lt; 1{3x + 2 if 1 ≤ x ≤ 4find f(−1), f(0), f(1) and…

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Q: For the following functions, use a calculator to graph the function and to estimate the absolute and…

A: The function is y=3x1-x2. Sketch the graph of  y=3x1-x2 and find the absolute and local maxima and…

Q: State if the following functions is Even, Odd, or neither. Show some form of work or explanation for…

A: Given,  fx = x2                0 &lt; x &lt; 2 We have to find whether this function is odd, even or…

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: Given f(x)=x/(x^2+4) find f''(x). Please do on paper.

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Q: Consider the following function: 6x + 9 f(x) = x+ 8 Step 1 of 2: At what x-value is the function…

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Q: For the following​ function, make a rough sketch of the graph that shows the behavior at the​…

A: Given fx=-34x-12x+13

Q: Given the function f(x) = { 3x – 4 x 0 - - Calculate the following values: f( – 1) = f(0) = f(2)

A: In this question we have to calculate the following values.

Q: 2. Find the x-coordinate of the point(s) of discontinuity of the following functions -16 x3 16х — 4,…

A: For x&lt; 3 , f(x)= -16 is continuousFor 3&lt;x&lt;6 , f(x)=16x-4 is continuous tooFor x&gt;6 ,…

Q: What is the value "L", if exists, when a variable "x" in f(x) approaches a certain number "d" in the…

A: Given: A function fx is given. To Find: What is the value "L", if exists, when a variable "x" in…

Q: Find the value of the constant bl that makes the following function continuous on (-00, 00). if x 6…

A: The given function is fx=2x-6if x≤6-3x+bif x&gt;6. it is given that, the given function is…

Q: For the function given by f(x) = 2x2 - 8 divided by x2 -1 , find the intervals where the function is…

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Q: Find a general formula for f (n)(x). f (x) = x−1/2

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Q: consider the following functions. f(x) = |x| and g(x) = x3 + 8 step 1. Find the formula for…

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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: 4.) For the functions f (x) = V16 – x and g(x) = 2x – 8 find (f • g)(x) and give its domain in…

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Q: Which of the following describes the end behavior of the function f(x)=√x −4 on the right?

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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: Consider the following relation. √1-x+y=−2 Step 2 of 3:  Evaluate the function found in the…

A: Consider the given relation: 1-x+y=-2 Square both the sides 1-x+y2=-221-x+y=4 Subtract 1 from both…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Given that, The function changes concavity at the inflection point. To find inflection point, solve…

Q: For the following function:f(x) =  x^2 if x &lt; 0          2 if x = 0          2x + 1 if x &gt;…

A: Given:

Q: Differentiate the following functions with respect to x. 2x-x y = +10r

A: =?

Q: Consider the following piecewise-defined function. 3x + 1 if x 4 Step 1 of 3: Evaluate this…

A: The function is given by

Q: For the following functions, use a calculator to graph the function and to estimate the absolute and…

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Q: 4. If f(x) = ax' +bx', determine a and b so that the graph of f will have a point of inflection at…

A: we need to determine the values of a and b.

Q: Find  f −1(x)  for the function. f(x) = 8 − x f −1(x) =

A: Given the

Q: 1 —х f(x) х2 —4

A: Absolute extrema

Q: Where is the function undefined and where is it equal to 0. f(x)=3e^2x-3

A: We can solve above question both through algebra and also through drawing it's graph. Both of them…

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

A: We will use the fact that

Q: Determine h(x - 1) for the following function. - 2x h(x) %D x2 - 8x + 15

A: The function is an expression, which gives output values (function values) for each inputs which are…

Q: For the following functions, find (f*g)(3) (Enter an exact number.) f(x)=x^2-8 g(x)=4x-5

A: (f*g)(3)= f(3)*g(3)We find f(3) by plugging x=3 in f(x).f(3)=1

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: 9. For the following piecewise function, find f(-4). [2x+1 f(x)=1-2x+3 if x21 if x<1

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Q: -6x If f(x) = -3. then f'(3) = x+3 (Answer accurate to 2 decimal places.)

A: Given fx=-6xx+3 The quotient rule of differentiation states that ddxuxvx=vdudx-udvdxv2. The power…

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) =?

Q: For each of the following functions, decide whether it is even, odd, or neither. Enter E for an EVEN…

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Q: Given the function f(x)=(2)^x find the following functions of  -g(x) that shifts f(x) down 3 and to…

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