Given that'a, h and k'can be any real number, complete each statement with sometimes, always, or never. The range of the function y = av is %3D The domain of the function y = avx-h is r>h. The range of the function y = a +k is [k, 00). %3D

Q: If f(x) = −x2 − x − 4, find f(−4), f(0), and f(6)

A: Given that f(x) = −x2 − x − 4 Therefore f(-4) = -(-4)2 - (-4) -4 -> f(-4) = -16 + 4 -4 ->…

Q: If a and h are real numbers, find the following values for the given function. f(x) = 12 − x2   (a)…

A:

Q: If h(x) = 4+ 3f(x), where f(5) = 4 and f'(5) = 5, find h'(5).

A: given function :

Q: If f(x)= x – 4 and g(x)= Vr – 2; which of the following is equal to (x)? х-2 x - 4«/x – 2) х — 2 O…

A:

Q: If f(x) dr = 6 ,what is the value of f(5 – 1) dr

A:

Q: For function, find (a) ƒ (4) , (b) ƒ( −1/2) , (c) ƒ( a) , (d) ƒ( 2/m) , and (e) any values of x such…

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

Q: If a is a positive real number, find the following values for the given function. 6x g(x) x2 + 7 (ə)…

A: The given function is:gx=6xx2+7

Q: Given the function y =x3+x2- 2x+ 1. which of the following statements is true for when x changes…

A: We need to find change in y.

Q: If f(x)= 3x-4 if -3≤x≤4 x³-4 if 4<x≤5 , find: (a) f(0), (b) f(1), (c) f(4), and (d) f(5).

A:

Q: Given the function y=x³+x² – 2x + 1. which of the following statements is true for when x changes…

A: A is true.

Q: Find f'(x), f'"(x), and f""(x). f(x) = 4x? (2– 9x -3) f'(x)= f'"(x) =|

A:

Q: Given the functions f (x) = 3x + 5 = (x) 6 g (x) = 4 – x2 and h (x) = = 1 *, find each of the -…

A:

Q: STATE THE DOMAIN OF THE FUNCTION f(x), USING INTERUA NOTATION. if X <-4 flx%= (x+5)(x-6l if -4 x cs…

A: Given,            f(x) = 3 - x                    if x &lt; -4(x - 6) (x + 3)(x + 5)x -6       if -4…

Q: If f(x) = 2x2 - x + 3, find and simplify the expression: [f(x + h) - f(x)]/h, h ≠ 0

A: The given function is fx=2x2-x+3

Q: If f(x) = 2x, then f(a + b) = f(a) + f(b).Determine whether the statement is true or false. If the…

A: we have f(x) = 2x, then f(a + b) = f(a) + f(b). we have to determine whether the given statement is…

Q: Given the function f(x) = −2log3(x + 1)− 2 , a. State the domain and range of f(x).  b. State the x…

A:

Q: If f(x) = 3x² – x + 2, find f(2), f(-2), f(a), f(-a), f(a + 1), 2f(a), f(2a), f(a²), [f(a)]°, and…

A: Given Data The equation is fx=3x2-x+2.   Put the values in the equation fx=3x2-x+2 at x=2,…

Q: For each function, find (a) ƒ (4) , (b) ƒ( −1/2) , (c) ƒ( a) , (d) ƒ( 2/m) , and (e) any values of x…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: If f(x) = 5x2 – x³, find f'(x), f"(x), f''(x), and f(4)(x). f'(x) f"(x) %D f"'(x) p(4)(x) =

A:

Q: with If f(x) = x - 4x + 7, we find f(a + h) by replacing each occurrence of

A: f(x)=x2-4x+7

Q: If f(x) = -2x2 + x + 5, find and simplify each expression: a. f(x + h)     b. [f(x + h) - f(x)] /h ,…

A: Given fx=-2x2+x+5 (a) We have to simplify fx+h…

Q: If f(x)= Vx and g(r)= 2x+5, then state the domain of (go x).

A: Follow the procedure given below.

Q: If Ax) = a(x-h)* +k, where a, h, and k are constants, find f"(). 2ax O 2(x-h) O ax+h+k 2a

A: The given function is f(x) =a(x-h)2+k,   where a, h, k are constant. We have to find f''(x) f''(x)…

Q: Given the functions f(x)=√x² + 49 and g(x) = x4 fog would be equal to? O√x +49 O√x¹ +49 Ogof (x²…

A: The given functions are fx=x2+49 and gx=x4

Q: Determine the domain and range of the following function as shown.

A: Given:  h1z2=z2-2z-3Now,z2-2z-3≥0z2-3z+z-3≥0zz-3+1z-3≥0z+1z-3≥0Domain: (-∞,-1]∪[3,∞) Function is a…

Q: If f (x) = √(x - 1), find f (1), f (5), f (13), and f (26).

A: Given that the function f (x) = x - 1 To find f (1), f (5), f (13), and f (26).

Q: 3 If f(x) = Vx and g(x) = x° – 23, simplify the expressions (fo g)(3), (f o f)(4), (g o f)(x), and…

A: The function is a rule that associates or fixes a number to the particular point x. If , then the…

Q: If f(x) = (5x + 16) and g(x) = (x – 12)3, find all values of x for which f(x) = g(x).

A: Given ,f(x)=(5x+16)13,and g(x)=(x-12)13 To find: All values of x for which f(x)=g(x). Solution:…

Q: If m(x) = x -7 and n(x)=1/x+7, find the function value, if possible. (m x n)(7)

A:

Q: for which value of 'a' the function 5x3 – 625, x5

A: As  we know that; If the function is continuous at x=a then;…

Q: a and h are real numbers, find the following values for the given function. f(x) = 2x − 7…

A:

Q: The functions f and g are defined as follows. x-3 s(x) = x*+6x-27 8 (*) 2 x+25 For each function,…

A: Topic = Functions

Q: Given the functions f(x) = 4x° and g(x) = 7 · 4ª, which of the following statements is true? f(2)…

A:

Q: If a and h are real numbers, find the following values for the given function. f(x) = 5x− 6 (a)…

A: Given function is f(x)=5x-6    a and h are real numbers

Q: If a and h are real numbers, find the following values for the given function. f(x) = 5x − 6 1) f(a)…

A: Plug a and h in place of x to find f(a) and f(h).Answer(1): f(a)+f(h)=5a+5h-12

Q: If f(x) = 2x – 6 and g(x) = x – 2x2, find each value. f(2)

A: Given functions are: fx=2x-6 and, gx=x-2x2 We have to find the value of f2.

Q: Given the functions f(x) = 4x² and g(x) = 4. 4", which of the following statements is true? O f(3) >…

A: Given that  f(x) = 4x4 g(x) = 4.4x

Q: Which of the sentences is/are true for the following function? g(x,y) == 2+y² +2xy -6x-3y +4

A:

Q: find the extreme values of the following functions: a)y=x^3-3x^2+1 b)y=x^3-12x+2

A: Part (a) When an output value of a function is a maximum or a minimum over the entire domain of the…

Q: If f(2) = 10 and f'(x) = x²f(x) for all x, find f"(2).

A: We have to find f''2 given  f2=10 and f'x=x2fx for all x, We will use following formula of…

Q: If ASTU APLM, find the value of x. T M x + 1 2х-3 U 99 70 72 -> 个

A: Given that: ∆STU~∆PLM

Q: If f(x) = 2x + 3 and g(x) = 3x + 2, what is the value of f(g(3))? 16 O 20 O 25 O 29

A:

Q: If  h(x) = √ 5 + 4f(x),  where  f(5) = 5 and f '(5) = 2, find h'(5).

A: Given thath(x)=5+4f(x)f(5)=5; f'(5)=2we have to find h'(5)

Q: if F(x)= f(g(x)), where f(-2)=8,f'(-2)=4, f'(5)=3, g(5)=-2,g'(5)=6, find F'(5)

A:

Q: If f(x) = 3x3 + 2, find a number c between a = -1 and b = 2 such that | F(x)dx = f(c)(b– a) 5 В. А.…

A: Applications of integral

Q: If a and h are real numbers, find the following values for the given function. f(x) = 2x + 9x - 1…

A:

Q: Q2) find the domain and range of each following function? 1. y X-2 x+3 2. у 3 X-2 3. y = V4 – x 4. y…

A:

Q: If a and h are real numbers, find the following values for the given function. f(x) = 5x− 6 1)…

A: Find f(a) and f(h) first

Q: If f(x) = -2x2 + x + 5, find and simplify the expression: [f(x + h) - f(x)]/h, h ≠ 0.

A: Given a function, f(x)=-2x2+x+5 To find f(x+h)-f(x)h,h≠0 .

Q: If F(x) = f(g(x), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5) = - 2, and 9'(5) = 6, find the value…

A: Given that: F(x)=f[g(x)], where f-2=8, f'-2=4 , f'5=3, g5=-2,  and g'5=6. Apply chain Rule of…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.