If f(4) = 7 and f'(x) ≥ 3 for 4 ≤ x ≤ 7, how small can f(7) possibly be? f(7) = Enter an exact number

Q: Get the derivative of all the functions. 1. ?(?) = 9?^5 + 2?^4 + 3?^3 + 7?^2 + 1 2. ?(?) = 5?^2−2…

A: To  find the derivative with respect to x

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

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

Q: If the function f (x) is continuous for all real numbers and if f (x) x²-4 when x + -2, then x+2 f…

A: f(-2) = -4

Q: Find the value of k which makes F(x) =(x+k)/(4k-1) if x<=0 and F(x)= x^2+2x+k if x>0 if…

A:

Q: Suppose f(r)=1+3r^2. Evaluate the function for each of the following values of its argument: 1. with…

A: Find the function by substituting the given arguments.

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: f(x) = 52 — 2 for −(x − 1)² +1_for - 13 for 32 x Find f(4) x 4

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Q: Find the domain and sketch the graph of the function.

A:

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

A:

Q: if f(x)={ -3x       for x -1  find f(-2)  a. -6 b.9 c.6  d.-1 e.0

A:

Q: For what value of k will the function f be continuous on (-, ∞)? x2 - 81 if x + -9 f(x) = X + 9 k if…

A:

Q: f(x)= { x^2-1, x less than or equal to 32ax-4, x&gt;3Find values of a for f (x) to be a…

A: Since function f(x) is continuous.Therefore it is continuous at every point and also at x=3

Q: f(x) is a function such that f"(x) > 0 for x # 0 and f"(0) is undefined. Sketch 2 different graphs…

A: Here we need to plot two functions such that and f''(0) is undefined.In other words f(x) is concave…

Q: 5. If f(x) = 2 x + 3 a) f-¹(g(x)) and g(x) = 21, find b) the domain and range of f-¹(g(x))

A:

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

A:

Q: Suppose (x + 5 if x -5 f(x) = find f(-5)? O 1 O -3 O 3

A: we can find the value of f(-5) . Put x=-5 in the given function f(x) .

Q: values

A: We will find the value of x between 0&lt;x&lt;10.

Q: Let f(x) = 3x^2 - 2x + 1 and g(x) = 3x - 4. What is (f o g)(x) if x = 1? * %3! -5

A:

Q: For what value of x does the function g(x) = (x2- 4)2 attain the absolute maximum in the interval…

A: Given function is gx=x2-42                       (i) To find the value of x or which gx attains the…

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

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

A: