Let A = B = C = {x 1 x is a real number}. Let f: A → B and g: B → C be defined as follows: f(a) 2a +3 and g(b) 6² Compute the following: (a) (fog)(2) (b) (gof)(2) (c) (gof)(x) (d) (fog)(x) (e) (fof)(y) (f) (gog)(y) = =

Q: (x + 5)/(x – 3) is NOT defined for x =   a. 3   b. 0   c. -3   d. -5

A:

Q: Show that Y1 = X1/X2 and Y2 = X1 + X2 are independent and that Y2 isχ2(r1 + r2).

A: Given Y1=X1X2Y2=X1+X2

Q: 3. Let g(x) = x2 + 4x – 1. Evaluate each of the following: (a) g(-4) (b) g(8) (c) g(-1) (d) g(1) 4.…

A: By putting values of x in given all function like x=-4, 8,-1, 1,    '

Q: Let g(x)=31-x. Compute: a) g(2.3) b) g(2) c) g(-1)

A: Given that

Q: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

A: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

Q: II. If f(x) = x², g(x) = 5x and h(x) = x + 4, find each value: 7. h(g(-3)) 6. f(h(-9)) 8. g(f(8))

A:

Q: Give the domain for t(x)= x+1/x2-3x-18

A: Given function is,

Q: Suppose f(x) = 2x² + 6x + 2. Compute the following: A.) f( – 3) + f(1) = B.) f( – 3) – f(1) =

A:

Q: verify that 6A = 3(2A)

A: Here given  Thus

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: 3) Use the functions f(x)= 12 - 2x and g(x) = 4x² – x – 7 to evaluate the following: %3D a) f(4) b)…

A: The given functions are fx=12-2x,gx=4x2-x-7.

Q: )- (3x* -7х +4

A:

Q: II. If f(x) = x², g(x) = 5x and h(x) = x + 4, find each value: 3. f(g(1)) 4. g(h(-2)) 5. h(f(4)) 6.…

A:

Q: 1 dx D x(x*+ 1) Select one: a. x2 In +C b. In 2+1 C. In + 1 d. In 4 + C

A: Solution

Q: Suppose f(x) = 3x² - 6x + 9. Compute the following: A.) f(-1) + f(1) = B.) f(-1)-f(1) =

A:

Q: Evaluate G r. d.x. (x2+1)(x+1) 0.

A: The following integrals are useful, while evaluating the integral that is provided. ∫dxx =ln x +C…

Q: Let f(x)- 3x-4 and gix)= x² +4x +5. Find f(3) = f(-2)- 9(-3): g(2): flat2): glar2)

A:

Q: Find f132 if f(y,z,x) =3x2+6xz+yx3

A: Question- Find f132 if f(y,z,x) =3x2+6xz+yx3

Q: If f(x) = x2 + x + 2 and g(x) = x – 5, find the following. (а) f + g (b) f - g (c) fog (d) дof (e)…

A: We have to find