(b) Let f:(R\{1}) → (R\{1}) and ƒ˜¹:(R\{1} ) → (R \{1}) be both defined by f(x) = f¯¹(x) = = x+1 x-1' Determine whether (fƒ o f−¹)(x) = (ƒ−¹ o f)(x) = i(x) .

Q: If f(a) = 7 and f(b) = 0, then there exists a number c in the interval (a, b) such that f'(c) 7 a –…

A:

Q: The function f is defined by ƒ (x) = -2x³ – x – 5 and f(-1) = -2. If g(x) = f¯1(x), what is the…

A: Given fx=-2x3-x-5f-1=-2Therefore, f-1-2=-1Differentiate with xf'(x)=-6x2-1f'-1=-7

Q: Consider the function f(x)=1/x+4. a) As x→−∞, f(x)→ b)As x→∞, f(x)→

A:

Q: Suppose that f(a) = f(b) = g(a) = g(b) = 0 and the second derivatives of f and g are continuous on…

A:

Q: Let h(x) = f(g(x)). If: f(3) = 0, f'(42) = –5, f'(3) = 4, g(3) = 42, & gʻ (3) = 0, then h'(3) =

A:

Q: Let f(u) = u* and g(x) =u = 2x* + 6. Find (fo g)'(- 1). (fo g)'(-1)= (Туре an exact answer.)

A: Given:- Let f(u) = u4 and g(x) = u = 2x4 + 6   To Find (fog)'(-1).

Q: Use the second derivative to determine f"(4) for the function f (æ) = x² In (x) 2ln(4) +2 3ln(4) +3…

A: Derivative of the function

Q: For f(x) = x? – 2x – 1, find f(2), f'(2), and f(3) – f(2). - a. f(2) = -1 b. f'(2) = c. f(3) – f(2)

A:

Q: Let f(x) = In(x² – 14x + 52) f'(x) =

A:

Q: Suppose the slope of the curve y = f¯¹ (x) at the point (4,7) is . Find ƒ'(7). [B] 4 [A] 1 [C] 5 [D]…

A:

Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, ƒ'(1) = 1, g'(1) = 5. For the following…

A:

Q: ) Use L(x) to approximate f(16.1).

A: For a given function f(x) the linearization at a point x=a is denoted by L(x) and it is defined as…

Q: Suppose that f(a) = f(b) = 0 and the second derivatives of f exist on the closed interval [a, b].…

A: Prove that ∫abx-ax-bf"xdx=2∫abfxdx.

Q: Show that the function f defined by f(x) 3 x' + 3 then find an equation for the line tangent to the…

A: