Find the maximum point for the function f(x) = 1 + 12x – 4x O (-1, -7) O (2, -7) O (0, 1) (1, 9)

Q: Find the second derivate of f(x) = 4 + 3e-* %3D A 3e* F 3e* C -3 -3e-* 9e-* H -9e-*

A: To find the second derivative of the following function f(x) = 4 + 3e-x

Q: Find the requested function and state the domain. 6 (g o f)(x) for f(x) = and g(x) = 2-x 6

A: Given : fx = 6x6gx = 2-x

Q: The functions f and g are defined as f(x) = 2x – 1 and g(x) = x² +1. Which of the following…

A: h(x) = g(f(x)) is called composite function of f(x) and g(x).  Here the value of of function f(x) is…

Q: If ƒ (x) = x − 7 and g(x) = O(-∞, 4) 0 (-∞, 4] O (4,0) O [4,00) O (4,7) U (7, ∞0) what is the domain…

A:

Q: Let m(x) = 2x² - ax - 2 and n(x) = bx² + 2x + 5. The functions are combined to form the new function…

A:

Q: 2. Find the zeros of f(x)=x² -x-12.

A:

Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

A:

Q: What is the vertex of the following function? f(x) = x² + 4x +3 (-1,4) (-2,-1) (4,3) (-4, 3)

A: Solution : Given that f(x) = x^2 + 4x + 3 For vertex of the given function , f'(x) = 0

Q: Let f(x) = 2x2 - 1 and g(x)= 1 + x². Find (f o f)(x). O x* +2x² +2 4 O 4x4 – 4x2 + 2 | 4 O 2x* + 4x²…

A:

Q: Sketch the function f(x) = 2x(x + 3)²(x-4) -3-2 3

A: The given function .We have to sketch a graph of the function.

Q: Differentiate. f(x) = (x 2 - 2x + 4)ex O ex(x² + 2) O ex(x² + 4x + 2) 3 +x+4 O ex(2x - 2)

A: Given the function fx=x2-2x+4ex

Q: Let f(x) = x2 + 2x – 1 and g(x) = 2x – 4. Find 2f(x) – 3g(x). 2x2 — 2х — 14 -3x2 – 2x – 1 Option 1…

A:

Q: maximum number of turning points possible for the function f(x) = 9x* + 2a³ – 6x – 5, is

A:

Q: Let f(x)= = -2 x²+3x O Only 0 O Only 3 O Only -3 Only 0 and 3 What values of x have to be excluded…

A: given  f(x)=-2x2+3xfor domain  x2+3x≠0

Q: The yintercept of the linear function f(x) =7x+9 is -6.6 11 9 4.3 -1.3

A: We know that the y-intercept of the function fx is the point where the function cuts the graph on…

Q: Let f(x) = - 4x+ 15 and g(x) =x² +14. Find f(5)- g(5). (5) - g(5) =|

A: Given that: f(x)=-4x+15g(x)=x2+14

Q: 9) Evaluate the piecewise function for x = -1 and x = 4. 2x + 1 if x 2 h(-1) = h(4) =

A: To evaluate the piecewise function for x=-1 and x=4.hx=2x+1  if x≤2x2-4  if x>2h-1=?h4=?

Q: . Let f(x) = x² + x + 3, g(x) = 5x + 3 and h(x) = 2x² – 4x + 1. Find the following: d. (fo h)(-5y)…

A: Composition of the function

Q: Find the smallest value of the function f(x) = x³-3x² - 9x + 5 on the domain −4 ≤ x ≤ 4.

A:

Q: If f(x+y) =f(x) +f(y) and f (1) =3, find f(2), f(3), and  f(4). Is f(x+y) =f(x) +f(y) for all…

A:

Q: If f(x)=(m-4)x+7 is a constant function m =?

A:

Q: 11. Decide algebraically if the functions given below are even, odd, or neither. a) f(x) = -7x - 3x3…

A:

Q: The points of inflection of the function f(x) = 2x - 6x? - 5x 1 is: O 4 O 3 O 2 O 1

A: Find the inflection points of the function

Q: 2 V1-x*

A: