1) Suppose that F(x) = 15x³+4x² - 3x + π. For each of the following questions, type yes if the correct answer is yes and type no if the correct answer is no. a) Is F(x) an antiderivative of f(x) = 45x² + 8x - 3? b) Does f have any other antiderivatives? c) Is f 45x² + 8x - 3 dx = F(x) + + C, where C is an arbitrary constant ?

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

A:

Q: Suppose f(x) = vx – 3 and g(x) = x² + 5. Which of the following is a formula for fo g)(x)? Suppose…

A: We will find out the required values.

Q: If f(x) = x²-3 then f(x-2) is equal to: OA. x²-3-2 B. none of the other answers OC. (3x)(x-2)² OD.…

A:

Q: your ans

A:

Q: b) Suppose x # 2. Find dif dx In y = In (x - 2)² √x² +1

A:

Q: Let f(æ) = a² + 3 and g(x) = 2x – 1. Which of the following is fo g(æ)? fo g(x)= 4x² +3 %3D fo g(x)=…

A:

Q: If f(x).= x³+3x k is divided by (x +1) and the remainder is 12, then - k = -8. True False

A: Given :fx=x3+3x-k*Remainder theorem; - If a polynomial f(x) is divided by x-a then the remainder is…

Q: 8. FIND f(4) (x) OF f(x) = 3x7 + 4x6 + 8x³ – 2x + 1

A:

Q: Let g(x)=x2+6x        and f(x)=4x       Find each of the following.      a)  g(−1)      b)…

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: Find   g−1 ∘ f −1

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: (2022) , find feua (0) (1-x3 2x given f(x) 2

A:

Q: 4. Factor f(x) into linear factors given that k is a zero. f(x) = 6x3 + 17x² – 63x +10;k=-5 a. f(x)…

A:

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

A:

Q: E,=0(x + 1)" If the radius of convergence of n! equals 8, then the radius of convergence of an Zn=0…

A:

Q: 23. √ √2 + 3cotx csc² x dx

A:

Q: If f(x) = 2x +2, g(x) = - 3x - 2x-2, and h(x) = 7x² +5, find f( - 3). f(- 3) =O (Simplify your…

A: Given: fx=2x+2, gx=-3x2-2x-2, hx=7x2+5 For finding value of f-3, we put x=-3 in given fx and…

Q: Let P (x) = 2x - 15a + az?+ bx + c, where a, %3D Given that (x - 5) is a factor of P (r), find a…

A: It is given that,  P(x) = 2x4 - 15x3 + ax2 + bx + c It is given that, (x - 5) is a factor of P(x).

Q: If R(x) = x+2 and P(x) = 6x, find P(x) • R(x). P(x) • R(x) = (Simplify your answer.)

A:

Q: If u(x) = 4x² — 7 and v(x) = x³ – 9, find u(x) · v(x). . u(x) · v(x) =

A:

Q: Given f(x) = 2x² + 1 and g(x) = 6x — 7, find the following: 1. f(g(2)) 2. f(g(x)) 3. f(f(x)) 4.…

A: