Use the graph of f and g. p(x) = f(x)g(x) f(x) g(x) q(x) y 10 8. f 4 2 -2 4 6. 8 10 -2 (a) Find p'(2). p'(2) = (b) Find q'(4). q'(4) = 2.

Q: Use the graphs (see attached) of f and g to find (g - f)(-2).

A: To find (g - f)(-2).  (g - f)(x) = g(x) - f(x) value of both functions at x = - 2    g(-2) = 2 f(-2)…

Q: Use the given graph of y = f(x) to evaluate the following.

A: given graph of f(x)

Q: (III) (IV) 5- (II) (1) -1

A: Given data:     The first equation of the curve is: y=ex. The second equation of the curve is:…

Q: 5. Let f(x) = x² + 3x and g(x) = 2-x. (a) Find (f - g)(x) (b) Find (fg)(2) (c) Find (4) (x) and its…

A:

Q: a) Find 2 x-intercepts of the function f (x) = a² + 6x . The x-intercepts are and (write smaller…

A: a) The x-intercepts of a function is the points where the graph crosses x-axis . The values of y…

Q: If  f(a)=b,  then which point is on the graph of   f(x)? 1. (f(a),f(b)) 2. (a, b)(a,b) 3.…

A: Given : f(a) = b

Q: Use the graph of f(x) to solve f(x) = 0 f(x)

A: Given query is to the factors of the expression.

Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

Q: Suppose that f () = 8200 and f (8) = 2600. (a) Write the linear function f, and (b) find the value…

A: Given  f12=8200f8=2600

Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) q(x) = g(x) y 12 10 8 6 2 -2 6 8 10 (a) Find p'(4).…

A: a) Given that p(x)=f(x)g(x)So, p'(x)=f'(x)g(x)+f(x)g'(x) [product rule]We plug…

Q: Determine the equation of the line tagent to the function f(x)=x(5-x)4 at x=3

A:

Q: 22. Given the function f(x) = -2x²-16x-29, a) find the slope of the line tangent to the function at…

A:

Q: Find f(g()) and g(f(2)) for the pair of functions. f() =+1 g(2) 34x-17 flo(2)) = %3D 9(f(=)) = %3D

A: Given, f(x) = x + 1  g(x) = 4x - 17

Q: Let f(x) = g(x) h(x) and consider the following table of values: The value of f' (-9) is Number…

A:

Q: 7- Differentiate Y= f(g(x4)) h³(√x)

A:

Q: what is the equation f(x)= a (x-h) + k with the appropriate shifts entered

A: Find the attachment

Q: 32. For the function f(x) = 3X *5 Find: f (0) f(-2) f (3)

A:

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: 9.) What is the smallest slope of the function y=x²-3x² + 5x-1 on ?

A: