The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g' for various values of x are given in the table x f(x) f'(x) g(x) g'(x) 1 -3 8 3 2 2 3 -5 20 4 3 1 9 -3 -1 st 4 20 -1 1 3 Find each value. d (a) [√x. f(x)] a (b) at x = 4 dx at x = 2

Q: 2x x - 3. a) Find the domain of the function: [-3, ∞0) (-∞0, 3] (-∞, 3) U (3, 0) (0, -3) U (-3,0) 2.…

A: According to bartleby guidelines we supposed to do the first subparts of multiple subparts kindly…

Q: The function f is given by f (x) = (1+x)=. How do the values of f behave for small positive and…

A: Here we define  f  for small or large positive value of x.

Q: Suppose the functions g and f are defined as follows. h(x) = -5+ 4x2 g (x) = 4 – 9x (ə) Find (4)…

A: Given that, h(x)=-5+4x2 and g(x)=4-9x. Part (a) The value of hg(x) is same as hg(x)=h(x)g(x)…

Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

A:

Q: The function f(x) is defined as f(x) = 2x + 5. What is the value of f(- 7/4)? a. -17 b. 3/2 c. 17/2…

A: given f(x)= 2x+5 f(-7/4)= 2(-7/4)+5 =-7/2+5 = -3.5+5= 1.5 = 3/2 f(-7/4)= 3/2

Q: Refer to the functions f and g and evaluate the functions at x= -4 f={(6,8), (4,5), (-4,-4), (0,0),…

A:

Q: 2. Let a, b be real numbers for which b > a. Let functions f,9,h be defined on a domain [a, b] in…

A: Solution is here

Q: Consider the following functions. Rw) - st) - (a) Find (e g)(x). Find the domain of feg. OR- (0, 4)…

A: fx=xx-3, gx=4x

Q: 1) Let f(x) be a function with Domain [-6,-2] and  Range [-10,-4]. Find the domain and range of the…

A: Given that for f(x) Domain [-6,-2] and  Range [-10,-4]

Q: Find f+g and fg for the functions f and g given as; f (x) =x² + 1 and g(x) =x + 2, are functions…

A: From the given problem:   fx=x2+1 ; gx=x+2   So,   f+gx=fx+gx=x2+1+x+2=x2+x+3 Hence, f+g=x2+x+3.

Q: Find the domain of the function (x) = 1/∣x + 3∣

A: The given function is fx=1x+3. To find the domain of function. Solution: The given function is…

Q: let f(x)= 5/x +-8/4x+1. Determine the values of x for which f(x) = -2

A: Given that f(x)=-2  We plug this and find x

Q: Let f and g be define f(x) = x-5 and g(x)=x²-1. Express the following functions as the sum,…

A: As per Bartleby rules we have to answer only first three questions.

Q: 2) Let f be a function given by (Зх + 2 if x > 1 if -2 <x <<1 x < -2 f(x) = - х2 — 1 if Find f(0),…

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Q: x3 The function f is defined by f(x) = x-2 Find the x-coordinates of all local extreme values of f.

A:

Q: Let the function f:[0,1]->R be defined by 4x f(x) 4x + 2 Then, what is the value of 39 f ƒ ( ²1 ) +…

A: