If f is C2 on an interval prove that f(2 + k) – 2/(2) + {(z =A) = r"(2). - lim h-0 h2 = f"(x). The expression f(x+h) – 2f(x) +f(x-h) is called the symmetric second difference.

Q: At x = 3 + Ax, the value of the function is f(3 + Ax) = 17 - + Ax Hence, (3 + A3²) -( 17 m = lim Ax…

A: Solution: The objective is to fill the required blanks

Q: - x + 1 If f(x) = find (fof) (x). X - 1

A: The composite function f∘fx is consist of two functions. Both functions are fx. We can also write…

Q: Show that f(g)x = x - 5x  Show f(g)x = x

A:

Q: For the function f(x) = !!x2 + 3 find f -1(x)

A: the given function isf(x)=x2+3to find f-1(x)

Q: Calculate the flow in the field F along the path C. F = -5 i + 4 j + 8 k; C is the curve  r(t) = 2…

A:

Q: Suppose that f(x)=(x+2)(x-2)^2. (G) Use interval notation to indicate where f(x) is concave down.…

A:

Q: Which one of these statements in relation to the function f(x)= x+3/x is false?

A: Explanation of the answer is as follows

Q: Expand f(2) = z-5)(=-15) in the domain 5 < |2 < 15 .

A:

Q: S(x)= 2-1 x* +X Simplify

A:

Q: Write the domain of the given functions in interval notation:

A: here we have to find the domain of the given functions.

Q: 3. If f(X) = x - 3x - 2, g(x) and h(x) = Vx+3 use the interval notation to describe the domain of…

A:

Q: If f (2) = a + 2, then evaluate f (20).

A: The given function is  f(x) = 12x +2

Q: Identify the vertex for: f(x) = x² +5x-2 O (-2,--5-) O (--/ -2) O (--/ -33) 33 O ( - 11/, --5-)

A:

Q: The domain of the function 11x + 7 is I - 3 f(z) = %3D

A:

Q: 1) Which set of values for x should be tested to determine the possible zeros of the function f (x)…

A: We need to find possible x values that needs to be checked where function is zero.   NOTE - As per…

Q: √x-5 f(x) = x² 8x 20 Find the intervals of continuity of this function f(x). - - NOTE: Use 'INF' for…

A:

Q: For the given functions f and g, find the requested function and state its domain. 15) f(x) = 5x +…

A:

Q: Let f(x) = Vx +7 and g(x) = x +3 a) Find (2) (2) show work. b) Give the domain of the function (-)…

A:

Q: Differentiate the following function. y=x(x5 + 5) 3 Choose the correct setup below to differentiate…

A: We have to check

Q: Suppose that f(x) is an odd function and that f(-2)=4 Find the value of f(2)

A: Given data:     The given value of the odd function is: f(-2)=4.     The standard expression for the…

Q: 5) For functions f (x) = x² – 15x + 45 and g(x) = x - 9, find |(x)

A: f(x)=x2-15x+45, g(x)=x-9, (fg)(x)=?f(x)=x2-15x+45  g(x)=x-9  Now fgx=f(x)g(x)             [Quotient]

Q: What is the Domain of f(X) = 7*? None of these. (7, ) 00, ) (0, ∞)

A: We know that domain of exponential function f(x)=ax is -∞,∞ as the function f(x) is defined for all…

Q: Let f(x) f-1(-7) = x +3 x + 9 О acer

A:

Q: How to do intermediate value thereom f(x)=2x3+6x2-8x+2 : [-5,-4]

A: Consider the given function