a) k(-13)  b) k(9) c) k(26)  k(-13)=  Given the function k described by k(x)=6x, find each of the following

Q: 4. [5] Please find in interval notation the values of x for which this expression is real. Show…

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Q: Determine the value of k such that when f(x)=x* - kx +7x-6 is divided by x - 2, the remainder is 4.

A: We have to find the value of k. To solve this problem we will use 'Remainder theorem' which states…

Q: If f(-6) = 6 and f '(x) < 8 for all x, what is the largest possible value of f (3)?

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Q: 5 If f(x) = x + 2, evaluate f (3k +3). k=1

A: given :f(x)=x+2∑k=15 f(k+3)

Q: if (b) Suppose that f(x) (Bx² – 3 (Вх + 2 *> 2 if Find the value of B so that f(x) is continuous…

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Q: What is the value of k in the function f(x)=112-kx if f(-3)=121

A: Put x= -3 in given function and solve for k,

Q: Consider the following relation. −3x+5y=−2x−5y Step 2 of 3 : Evaluate the function found in the…

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Q: Suppose that p(x) = {24 + x, if x< 2) | 1+x², if x 2 2 Find a value of A such that the function p(x)…

A: Given query is to find the value of A.

Q: 7. If f(x) = mx²-x+2 and g(x) = 3x² +nx-4, and the points (-2, -14) and (1, -11) are on the combined…

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Q: If f(x) = 3x — 7, find the image of 2 and the preimage of 2

A: Given: fx=3x-7 To determine: Image &amp; pre-image of 2.

Q: . If f(x) = 3x find the image and preimage of 6.

A: Given: fx=3x To determine: Image &amp; Preimage od 6.

Q: Find f"(1) if fx) = x- 2x+ T. O 3n? - 2 O 31? – 1 12 - 21

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Q: 14 7) If f(x) = T4x-5) find f"(x) %3D

A: Given function is- f(x)=14(4x-5)27We need to find f''(x)First we will find f'(x) f'(x)=ddx14(4x-5)27…

Q: Given the funtions F(x)= 2x^2 +4x and G(x)= 2x +4   Then (GoF)(2)?

A: Given,     F(x)=2x^+4x and G(x)=2x+4     we have find (GOF)(2)

Q: b. Choose the correct range of the function f(x, y) = In (6x² + 5y²). A. All non-negative real…

A: Given f(x,y)=ln(6x^2+5y^2)Range is the set of possible output values.And domain is the set of…

Q: If f(x) = }x + 3, find the image and preimage of 4.

A: Given:              f(x)=12x+3

Q: 2 9. If f(x) =-(x- 5), determine the following %3D 3 f(17)- f(8) а) 17-8 (12)- f (4) b) 12 - 4

A: The given function    f(x)=23x-5

Q: 2. What is the range of the function (x) =-x– 10 if the de А. 28 В. -32 С. -28 D. 38 3. What would…

A: Given that: 2. f(x)=13x-103. f(14)=4x2-5x+3

Q: If f(x)=4x-10 and g(x)=6-2x, fina tne roiiowing f(-2) g(5) g(-2)+ f(3)

A: Given f(x)=4x-10 and g(x)=6-2x. We need to find f(-2) Replace x by (-2) in f(x) f(-2)=4(-2)-10…

Q: If f(x) = xcotx , then f'(n/4) =

A:

Q: ? Suppose that * f(3) = 1, and f(x) > 0, and f(x) < 0. Is it possible that f(2) = 3 4

A: Given fι 3=12  and    fιx&gt;0and fιιx&lt;0 . it is possible that fι2=34let g3 =  fι 3=12    ,…

Q: 9. Use the given graph of f (x) x2 to find a number 8 such that %3D if |x – 1| < 8 then |x2 – 1| <;…

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Q: 2 is the graph of f(x) = -2/3 x – 3. -6 -5 -4 -3 -2 -10 1 2 3456 -2 -3 -4 -5 O False True

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Q: The graph of f(x)3-x-5x+6 has the point (-8, 2) on it. O True O False

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Q: Suppose that 2 ≤ f '(x) ≤ 3 for all values of x. What are the minimum and maximum possible values of…

A: Given , Suppose that 2 &lt;= f’ (x) &lt;= 3 for all values of x. The minimum and maximum possible…

Q: 1 The volume, V, of a rectangular box with a square base and height h inches can be mode by the…

A:

Q: For the f(x)=−x3+3x+6f(x)=−x3+3x+6 determine the coordinates of the turning point(s) and any…

A: See the attachment

Q: If f(2) = 2 and f '(x) ≥ 3 for 2 ≤ x ≤ 6, how small can f(6) possibly be?

A: given that f(2)=2,f'(x)≥ 3 for  2 ≤ x ≤ 6. we need to find how small can f(6) can be We use Mean…

Q: For f(z) = 2es'the value oflog(f(z)) is

A: Given that fz=2eπ8i We have to find the value of logfz

Q: The Cobb-Douglas production function for a bicycle company is given by f(x.y) = 21x°*y0, where x is…

A: We have to find the total productions of bicycles.

Q: Consider the followino. x + 7 7-x-56 Find the x-value (f any) at which ris not oontinuous. Is the…

A: Given function,  f(x) = x+7x2-x-56  To find the points of discontinuity and removable or non…

Q: Suppose that f(x) is O(g(x)). Does it follow that 2f(x) is O(2g(x))?

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Q: Express f(x) in the form a(x − h)2 + k. f(x) = − 3/4x2 + 15x − 77   f(x)=?

A: Given: f(x) = − 3/4x2 + 15x − 77…

Q: .If f(z) = 2° + 9 and g(z) = a+ 12, find [go f](-1). %3D

A: Givenf(x) = x3 +9, g(x) = x+12g ∘ f-1 = ?

Q: 4. If the domain of f(x) is -35x59 and the range of f(x) is 25ys15, then which of the following…

A: Here we can use the concept of transformation of function as for given function f(x) the…

Q: 4) If f(x) = [√9+ x²] then f(R) =_

A:

Q: If f(-9) = 2 andf'(x) < 9 for all x, what is the largest possible value of f(1)?

A: Lagrange's Mean Value Theorem : If f(x) be continuous on [a, b] and differentiable on (a, b) then…

Q: 5. If f(x)= kx³ + x² – kx+2, find k such that the graph of f contains the point (2, 12).

A: Given

Q: 3. Find (fo g)' ; if (x)= x+4 and g(x)= 2x -5.

A:

Q: A- Find the averag value of the function f(x)=x+ B- Find the aree √x²+2x on(2,4).

A:

Q: 1. When the function f(x) is divided by x + 2, the quotient is x2 -x -8 and the remainder is -3.…

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Q: Suppose that the cost for manufacturing n desks is C dollars, so we have C=f(n). Which of the…

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Q: Find the x-intercept(s) of the function (*)--+5x-6. O 2 and 3 O 6 and 1 O -1 and 6. O 5/2 and 3

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Q: 2. Find and sketch the domain of the function: f(x, y) = In(9x² + 25y² – 225)

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Q: For f(z) = 2es the value oflog(f(z)) is %3D

A: The general form of a complex number is given by z=a+ib, where a,b are two real numbers and i=-1.…

Q: Suppose f(2) = 4, f'(2) = –3, g(x) = væ, and h(x) = 9(f(x)). Then h' (2)=

A: We will find the h'(2) using the given values.Below find the solution in the image.

Q: 8. A student writes the following for the function f(x) 2 x¯- 8x+8 “ The domain of f(x) is (-∞, -4)…

A: Consider the given function as fx=x-2x2-8x+8

Q: 2. Determine the domain and range of h(x) =

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Q: If f(2) = 7 and f '(x) ≥ 1 for 2 ≤ x ≤ 6, how small can f(6) possibly be?

A: