Use the graph of fand g. Let p(x) = f(x)g(x) and q(x) = -2 10 8 6 4 2 (a) Find p'(4). p'(4) = (b) Find q'(8). q'(8) = -2H 2 4 6 9(x) 80 g 10 X

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: Find the domain and range of f(x)= (ex)/(1+ex)

A:

Q: Find the derivative

A: We find f'(x) using the quotient rule.…

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: if h(x)=x2-6, find h-1(x)

A: To find the inverse of the function, use the below steps. Replace h(x) by y, so we get y = x2 - 6

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: 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: 1. Assume that the function f is a one-to-one function. (a) If f(2) = 5, find f-(5). Your answer is…

A:

Q: If point P (4,-3) is on f(x) and if g(x-2) = -3f(1-x) -5 , then determine the point P' on g(x).

A:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x3 + 8x² – 2x – 3 at x = -7.

A:

Q: Find the derivative f(x) = √(7 + 4x2) - (1)/(5x2 + 9).

A: Consider the provided function, fx=7+4x2-15x2+9 Find the derivative of the function.…

Q: 4)- S da 1+2

A: We need to solve integral. As per Bartleby guidelines we can solve one question. Please upload other…

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

A: Find the attachment

Q: The derivative of is f (x) = 3x* + 7x² + 5x + 2 %3D

A: Given, f(x) = 3x4 +7x2 +5x +2

Q: Find the function ƒ with the following properties. ƒ'(x) = 3x2 - 1; ƒ(0) = 10

A: Given, f'x=3x2-1f0=10

Q: Find the slope of the curve f(x)= x2 at the point P(2,4)

A:

Q: For f(x) = 2x-4x2 +8 find the following. (A) f'(x) (B) The slope of the graph off at x= -2 (C) The…

A:

Q: Find a formula for f'(x) and determine the slopef'(-5) for the following function. 6e f(x) - Te* + 6…

A:

Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…