Suppose (x + 5 if x < -5 1-x if a >-5 f(x) = find f(-5)? O 1 O -3 O 3

Q: 8. Find f-1 (x) for f (x) = 2-4

A:

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: 1. Find f(x) if f'(x)=12x¹+3√x+7-2e -4 and f(1) = 4

A: Given f'x=12x3+3x+7x-2ex-4  and f1=4

Q: For f(x)=-5x+3 and g(x)=square root x-5 Find f^-1(x)

A: Given

Q: Find an expression for h'(x).  h(x) = 2 f (2x + 1)

A: Given equation - hx = 2f2x+1    .........(1)

Q: Suppose that 2 <f'(x)< 4 for all values of x. Show that 12 < f(8) – f(2) < 24

A:

Q: Find a general formula for f (n)(x). f (x) =x-2

A:

Q: Suppose that f(x) = 6x¬4 + 7x-2. Evaluate each of the following: f' (4) = f'(-3) =

A: Given,

Q: find f-1 (x) for one-to-one function for f (x) = exsponent 5 of the quare root of  6x − 5 .

A:

Q: If f(x) = -5 x + 12/x then f(3) is equal to:

A:

Q: If f(x)-x2 for all real numbers, what is f-1 for x>4?

A:

Q: If (f o g)(x) = 6x - 3 and g(x) = 3x - 2 then f(x) = ?

A: Topic:- function

Q: find a general formula for f (n)(x). f (x) = x2e x

A: The first derivative of a function when equated to 0 gives us the critical points of the function…

Q: Suppose f(x)= -x^2 +6x +7 f(-5) + f(5)=  f(-5)- f(5)=

A: Given,

Q: Suppose that f(x) = 6x¬4 + 7x-2. Evaluate each of the following: f'(4) = f'(-3) =

A:

Q: if f(x)=x2-4  f(square root of x+4)

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Q: x + 9 for x -5 Find f(-7)

A:

Q: Find (f – 9)(x) if f(x) = -3a? + 2x – 3 and g(æ) = 2x2 – 3x + 4. O (f - 9)(x) = 5x² – 5x + 7 • (f –…

A:

Q: Suppose f"(x) = 30x - 16, f'(- 1) = 33, and f(- 1) = - 23. Then f(x) = %3D

A: see below the answer and calculation

Q: If f(3) = 11 and f '(x) ≥ 1 for 3 ≤ x ≤ 6, how small can f(6) possibly be?

A: Given,          f3=11 and f'x≥1 for 3≤x≤6.

Q: Determine the error term of for the formula: f'(x)  ≈ (1/4h) [f(x+3h) - f(x-h)]

A: In order to find the error term of the given expression, first find the value of f(x+3h) and f(x-h).

Q: Suppose ​f(x)=​2.7(x−​2015)+35 models a situation where x represents a year. If we would like to…

A:

Q: Suppose that f(x) = /'(-2)- - f'(1) = 6x + 16 X Evaluate each of the following:

A: we have to find derivative at a point

Q: Given that f(x) =x^2 -2 and g(x)=6x+3 find (f-g) (-2) if it exists

A: Consider the given equations

Q: 49. Find (f)'(3) if f(x) = x³ + x + 1.

A:

Q: finsd f(x), if: Ofメ - x 4メー1。

A: It is simple differentiation.

Q: If f(4) 8 and f '(x) 2 1 for 4 < x < 9, how small can f(9) possibly be?

A: Given:- If f(4) = 8 and f '(x) &gt; 1 for 4 ≤ x ≤ 9 To find:- How small can f(9) possibly be?

Q: Compute f' (3). f (x) = -3.3x2² + 3.9 O f' (3) = -6 O f' (3) = -3.3 O f' (3) = -15.9 O f' (3) =…

A:

Q: Suppose that f( – 4) = 4 and that f'(x) = 4 for all x. Must f(x) = 4 for all x?

A:

Q: Let f(x) = {x2 + 2x - 1, if x ≥ 2, or 3x + 1, if x &lt; 2}. Find f(5) - f(-5).

A: Function: f(x)={x2+2x-1, x≥2           {3x+1 , x&lt;2We need to find f(5) and f(-5).

Q: Show that x - c is not a factor of f (x)for anyreal number c.

A: We have given fx=-x4-3x2-2 We can see here fx&lt;0 for all x belong to set of real numbers. If x-c…

Q: Find the interval on which f(x)=x2-4x+3 is increasing and the interval on which it is decreasing

A: Answer

Q: 1 Suppose f (x): x2. Evaluate: +4 -2 A

A:

Q: 48. If f(2) = 10 and f'(x) = x²f(x) for all x, find f"(2).

A: Given f'(x)=x2f(x)We know that (uv)'=uv'+vu'f''(x)=2x*f(x)+x2f(x)

Q: (b), f(x) = In (x² – 4)

A: Since you are asking only for b. Here is your answer.

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: 4 find f'(1). If f(x) = 2 +

A: To find the derivative of the given f(x) f(x)=2+5/x+4/x^2

Q: Suppose that 3 <f"(x) < 5 for all values of x. Show that 18 < f(8) – f(2) < 30.

A:

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

A:

Q: Derivatives

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Q: If f(1) = 6 and f'(x) > 2 for 1 <æ< 3, how small can f(3) possibly be?

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Q: suppose that f'(x)=2x for all x. Find f(8) if f(-2)=2

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Q: If f(3) = 2 and f '(x) 2 1 for 3 < x < 6, how small can f(6) possibly be?

A:

Q: -(x-7)² for x # 5 f(x) = for x = 5 Find f(5)

A: Given function is : fx=-x-72     for  x≠5 fx=-3            for x=5 From given function its clear…

Q: — Зх — 6 for x 5

A: To plot the piecewise function for y = f(x) We have two lines y = -3x-6 for x&lt; -3 y = 6    for x…

Q: If f(x)=x÷x-1 for all x not equal to 1. Find f'(x

A: Given function is, fx=xx-1 Differentiating both side of the given equation with respect to x up to…

Q: If f(3) = 14 and f '(x) ≥ 2 for 3 ≤ x ≤ 5, how small can f(5) possibly be?

A: The given conditions are,

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

A: