Suppose that thế fühctlons are defined for all real numbers x as follows. r(x)=3x s (x) = 2x² Write the expressions for (s'r) (x) and (s+r)(x) and evaluate (s-r)(-1). (s7)(;) = [| %3D (s + r)(+) = 0 %3D (s - r)(-1) = ]

Q: Suppose that f(x) = 3(8x - x²)/256 for 0<x. Determine P(2<X<4)

A: The pdf is given as,

Q: Write down the times tables for: F3[x]/(x² + 1) and Z[i]/(3).

A: We will use basic knowledge of ring theory and/or field theory to answer this question.

Q: Let f(x)=9x+8‾‾‾‾‾‾√f(x)=9x+8 and g(x)=x+9g(x)=x+9 be functions from ℝR to ℝR. Find the following.…

A: We will find out the required values.

Q: Let f(x) = 6x + 12 and g(x) = x² – 4. - Find the domain of the following fur (a) (g - f)(x) domain…

A:

Q: Verify that the factorization for f (x) = x3 + x2 + 1 over Z2

A: Given that, fx=x3+x2+1. Also ℤ2=0, 1 To verify the factorization for fx over ℤ2.

Q: F(X) = 102₂ ; g(x) = x + 1

A: To find the domain of .

Q: exp(x) = ex ?  Is it just a matter of notation, or does exp( ) mean something else?

A: Yes this is true exp(x) = e^x  exp(x) is command in coding language to type e^x

Q: 9) Evaluate the piecewise function for x = -1 and x = 4. 2x + 1 if x 2 h(-1) = h(4) =

A: To evaluate the piecewise function for x=-1 and x=4.hx=2x+1  if x≤2x2-4  if x&gt;2h-1=?h4=?

Q: Find f(g(-5)), if f(x) = „4 and g(x) = (x+ 4)² O -7/9 O -7/3 O 2/9 O 1051/81

A:

Q: Let f(x)=2x+1 and g(x)=2x2-1 a. f(t+1) b. f[g(-2)]

A: Givenf(x)=2x+1 and g(x)=2x2-1

Q: If f(x) = f(-3) = f(0) = f(2)= 2x-1 x²+3 for x ≤0 for x>0 " evaluate the following.

A:

Q: (6) (x)어

A: we have been given f4(x)=(x2+1)2 we have to find the value of f6(x).

Q: If F(x)=4-x and g(x) = 2x +3, find a value of such that F(x - 2) = g(2x). 40 22/10 0-2 O 0-1/3 O LO…

A:

Q: Find In such that: F(x) = x²³-8x²+ 9x +18=0

A: The given polynomial fuction is