8. i Let f(x) = 11x and g(x) = 7x73. Find (fg) (x) and (x). Then evaluate fg and for x = -8. %3D (fg)(x) = :(/g)(-8) = D %3D (x) = (-8) %3D State the domain of (fg)(x) and The domain of (/g)(x) is: and the domain of (x) is

Q: Var(5 + 2vx) = 4(E(x) – (E(Jx))² true False O

A: From the provided information, Var (5 + 2√x) = 4(E (x) – (E(√x)))2

Q: Bwalya was born in 1980. In two leap years to come, Shabalala was born. In which year was Shabalala…

A: Given, Bwalya was born in 1980. We know that 1980 is a leap year. Also, we have a leap year come…

Q: (1 point) Let f(x) = x² – 6x and g(x) = x – 6. Evaluate the following - %3D 1. (fo g)(x)= 2. (go…

A:

Q: 5. Let g(x) = x2 - 3x + 5. Find g(-4). | a) g(-4) = 1 b) g(-4) = 33 c) g(-4)=-23 d) g(-4) = 9 %3D

A:

Q: What is the vertex of the function f(x) = 19(x+6)2 %3D O (19, 6) O (6, 19) O (6, 0) O (6, 0)

A:

Q: Find f(x) g(x) = (fg)(x). Simplify. f(x) = x2 + 2 %3D g(x) = x2 - x + 9

A: Given, f(x) = x2+2 g(x) = x2-x+9

Q: f the population of a certain county was 100,000 in 1998 and 110,517 in 2008 and the for- mula y 5…

A: Given, the population of a certain county was 100,000 in 1998 and 110,517 in 2008             and…

Q: Let f(x) = V2 - x+ 8. Determine f-(x) and the the domain of f(z). f(x) = %3D Domain of f-(æ) =

A:

Q: (4x +7)(5– 2x) f(x)= %3D (x-1)²

A: Given data:     The expression for the function is: f(x)=(4x+7)(5-2x)/(x-1)2.   The expression for…

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: :) is one-to-one and f(11)=-9, then f(-9) = (f(11))-l =

A:

Q: Find (f + g)(1). f = {(1, -2), (0, -1)} and g = {(5, 0), (1, -3), (2, -4), (-2,4)}

A:

Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

Q: Let f(x) = - 9x + 12 and g(x) = x2 + 6. %3D Find f(5) + g(5).

A: Given that f(x)=-9x+12.       and g(x)=x2 + 6 find f(5)+g(5)

Q: Homework: Find (fag), (gof), (faf) and (gg) of the following functic 1. f(x) = x'; g(x) = x² +3. 2.…

A:

Q: a. Find ux b. Find uy C. Show that u satisfies the partial differential equation xux + yuy = 3u. %3D

A: In this question we have to find differentiation for the for the following question.

Q: Consider the functions: f(x) = and g(x) = . %3! %3D Find the expression for the composition of…

A:

Q: Let f(x) = x+9 and let g(x) = /x. Find the value of (f+g)(x) when x (a) 2 (b) 7 = 4. %3D (c) 9 (d) 5…

A:

Q: If f(7) = 22, then %3D f(f-1(22)) = [ ? ]

A:

Q: Differentiate the function. f(x) = 12x - 3+ 2x Select one: 4x4/3 +2 4x4/3 +2 4 - 3 4 +2 +2

A:

Q: = Evaluate f(2) - f(1) f(x) = 6x + 1 %3D

A:

Q: Consider the function f(x) = Ax³ + Bx² + 5x. Find the values of A and B if f'(-2) = -3 and f" (-2) =…

A: f(x)=Ax3+Bx2+5x