Suppose the point (5, a) lies on y = f(x), the point (b, c) lies on y = g(x) and the point (2, -8) lies on y = f[g(x)]. The values of a, b, and c are %3D O a = -8, b = 5, c = 2 %3| a = 5, b = 8, c = 2 a = -8, b = 2, c = 5 Oa = 5, b = 2. c = 8

Q: Where can you apply Independent and Dependent Variable in real life situations?

A: We can apply Independent and Dependent Variable in real life everywhere.

Q: Solve the following system of inequalities graphically on the set of axes below. State the…

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: 5x3 + 6x2 + 2, f (0) 3 and f(1) -2. %3D 15. Find f for f"(x)

A:

Q: Let g(x) = 2x and h(x) =x- 5. Find the following. %3D (g + h) 4 (g + h) (Simplify your answer.)

A: Simplification of function

Q: Due to heavy rainfall and waterlogging, only a few vehicles are seen on the road. Check the…

A:

Q: -6-5-4-3-2-1 у 6 5 4 3 2 1 -1 -2- -3 -4 -5 -6 7 123 456 X

A: To find the range of the given graph.

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

A:

Q: 1 6 -3 27 (-2)R, +R2 -8 3 4 4.

A: Given that,

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: How can variable can be identifies as Independent or Dependent Variable?

A: Independent variable: The independent variable can be defined as the variable that is controlled (or…

Q: Let fix)= 2x-3 and gix)=x?+4x-4 . Evaluate: f(-3)= gt2)= f(a-2):

A: Given: f(x)=2x-3g(x)=x2+4x-4

Q: 3. If f(2) = 3, g(3) = 2, f(3) = 4, and g(2) = 5, ƒ [(f • g)(3)]. %3D

A: Given: f2=3, g3=2, f3=4, and  g2=5

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: 2. y + 3 = -5(x - 1)

A: In order to draw the graph of a given line, first determine the x and y intercepts as:

Q: 19. For sets A, B show 1AUB = 1A V 1B, %3D and 1ANB = 1A ^ 1B.

A:

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

A:

Q: When F(x, y, z) = , evaluate - F( - 4, 4, – 2)

A: Given statement is When F(x, y, z) = < x², z+x,y> evaluate F(-4,4,-2)

Q: Let F ={ (-6,4),(-5,3),(4,-6),(3,-5),(1,5),(2,6),(-3,5),(-8,2),(6,4)} G=…

A: Given sets are  F ={ (-6,4),(-5,3),(4,-6),(3,-5),(1,5),(2,6),(-3,5),(-8,2),(6,4)}G=…

Q: Statements 1. -6(2x +1) = -11x – 7x 2. -12x – 6 = -18x 3. -6 = -6x 4. 1 =X

A:

Q: (instruction: take x = - 1.50, – 1.00, - 0.50,0,0.50, 1.00, 1.50)

A:

Q: 3. f(-2)=-13 (-2)= (fa) (-2)=

A: The multiplication of two function is: fgx=fxgx

Q: Let â = (2,0, –3), %3D b = ( and -4, –7,1) c = (1,1,–1). Find

A: The given vectors are a⇀=2, 0, -3, b⇀=-4, -7, 1  and  c⇀=1, 1, -1.

Q: There are 10 students in cafeteria , if x denotes the number of males, what are the possible value…

A: Here each sfudent can be male or female.

Q: Let f = {(5,3),(8,9),(3,8)} and g = 5x +4. Find f(3) + g(3). %3D

A: Given that f = { (5, 3), (8, 9), (3, 8) } Clearly we can say that f(3) = 8 as (3,8) belongs to f

Q: (5 g(x) = (2x - 3 if x 2 b. g(0) a. g(-3) C. g(2) d. g(3) e. g(5)

A: Here we have to evaluate the given function

Q: -2 -12 2 -2 수 2 -2 y y 2 2 x x

A:

Q: y = 4x 6x – 4y = -10 %3D | (-7, -4) (-4, -7) (1, 4) (1, -4)

A: