v(x) – v(x – k) v (x): 1 +ulr )kP + O(kª) k

Q: Option 2: Problem Solving You wish to invest P10,000 for a period of 5 years. Which of the following…

A: The principal amount we have is ₱10000 and the time period is 5 years.  Therefore,  P=₱10000 t=5

Q: g(x) = 3log, (x – 4)- 2

A:

Q: If f(x)= x2 – 2x-3 & g(X) = |X| thenfind: a) (fog)x) & b) (gof)x)

A: See the attachment

Q: For f(x) = Vx+5 and g(x) = x + 8, the domain of x-9 x is?

A:

Q: 2z + 5z + 14 If U(z) = evaluate u %3D Uz and (z – 1)

A: Solution :

Q: State whether the following statement is true or false: A vector space may have two or more zero…

A:

Q: With f(x) = 4 – 3x and g(x) = 2x2 – 3x + 1, find: a) f(5) b) g(-2) c) f(4 – 2y) d) g(x + 4)

A:

Q: H.w Exl Let f(x)= 4x+2X+243and go)=3x+3x+3xx +4, where 2. t. f(x),900€75LX] Compute POX) +g (x).and…

A:

Q: If a(x) = 4x² – 3 and b(x) =- Vx+3 what is a(b(x))? a(b(x)) = 2x a(b(x)) = = x-9 © a(b(x)) = *=²…

A: We are given: a(x)=4x2-3 and b(x)=x+34To find:a(b(x))

Q: Find (f g)(x). f(x) = 7x + 9, g(x) = 4x - 1; A) 28x + 8 B) 28x + 16 C) 28x + 2 DJ 28x + 35 op

A: The given functions are  f(x) = 7x +9 g(x) = 4x - 1 To find (fog)(x)

Q: If f(z) = (a") + and f(z +y) + f(z-y) Kf(z)f(y), then the 21 value of K.

A: Given that: *f(x)=ax+a-x2 *f(x+y)+f(x-y)=K×f(x)×f(y) Thus, the function f(x+y) is,…

Q: If f(x, y) = 7(92-67, then 1 9(9x-6y) ' is given by: 18 (9x-6y) 12 (9x-6y)3 18 (9x–6y)³ 12 (9x-6y) O…

A:

Q: Find & for f(r, y) = y- 4ry + 5y .3 2

A: Using partial derivative.

Q: 4 2 What is the equation of the given graph ? -2 -1

A:

Q: x² – x – 12 f (x) = %3D x2 – 2x – 8 -

A:

Q: (х? + 2у — 10у3х) if z у? (у? + 4х + 5у) dz -, find || дх

A: Given:

Q: x² If g(x) 4 simplify V1 + [g(x)]².

A: Given: gx=x24-1x2 To Find:  To simplify 1+gx2.

Q: y(x)=(x+1)2(x+2)3(x+3)4,x>−1.

A:

Q: y2(1+p2)=x+yp what is y?

A: Given data:     The given expression is: y2(1+p2)=x + yp.   The given expression can be written as,

Q: What is the leading co-efficient of. 6x -9 f(x) = 1 x ²³² 4 +

A: If y = ax^2 + bx + c  than leading coefficient is a

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: f(x+h)-f(x) for f(x) = 2x2 +11 : Find %3D

A: Given function: f(x)=2x2+11   To find f(x+h)-f(x)h, we have to need the values of f(x+h) and f(x).…

Q: Let f(x) = V3x + 9 and g(x) = 2x+ 6 find fog(x) and gof (x).

A:

Q: If P(x) = x2 + x + 1, find P(7). P(7) =

A: Given that  P(x)=x^2+x+1  To find the P(7)

Q: Z = (1 + i)(2-1)-¹, find |Z|.

A:

Q: f(0)=2 and f(n+1)=3f(n)-1. Find f(4)

A: To find f (4), obtain f (0), f (1) and f (2) as follows.

Q: (x + y + z)(3x - 2y - z)

A: we have to solve: (x + y + z)(3x - 2y - z)

Q: Find a, b, c, d for P(x) : = ax3 + bx? + cx + d if P(1) = 11, b = 3d, a = 2c and P(x) = Q(x) + x+1'

A: Polynomial and remainder

Q: Vx (x+2) dx = (A) 국2+4 (B) r2+2 + C (0) 등(금2+ 2x)+C (D) ++C 3/2 +x3/2. 3 x (2 5 1 -+ C

A: Given, ∫xx+2dx  We have to integrate it .

Q: For u(x) = 4x2 - x + 5 and v(x) = 2x + 4, which of the following is correct? a) (u – v)(2) = 11 b)…

A:

Q: Let f(x) = 2x – 5 and g(x) = x² – 7x + 2. Then (f o g)(x) = (go f)(x)

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.