1. For each of the following functions, determine if it is best described as a product, a quotient, or neither. (a) f(x) = (x - 1)² (b) y = ex x (c) P(t) = (3t² - 1)et x (d) Q(z) = 32²-2 3 Р (f) y = 3x(x³ + 2x² - 4x - 1) (e) f(p)

Q: Write the following functions in the form p(x)/q(x) for polynomial functions p and q. a) f(x) = 2 −…

A:

Q: 5. g(x) = x² - 1 and n(x) x² + 2x +1 IV. Find the product of all given functions. 1. 2. x=3 x²-x-6…

A: Note: As  per our guidelines we are supposed to answer only one question if there are multiple…

Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A:

Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

A:

Q: 3. Check for monotonicity for the following functions. TR = -20² + 14Q %3D TC = 20 + 10 100 AC = Q +…

A:

Q: For f(x) = 5x – 1 and g(x) = 5x2 - 1, find the following functions. %3D a. (fo g)(x); b. (g o f)(x);…

A: Given f(x)=5x-1 and g(x)=5x2-1fog(x)=In place of x of f(x) substitute g(x)fog(x)=f(g(x))=5(5x2-1)-1…

Q: The table below represents the inputs (x) and outputs [f(x), g(x), and h(x)] for three functions.…

A: Answer(a): Given that,  For function f(x), x-values and corresponding f(x) values. Write, these…

Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where…

A: Given transformation is gx=f-x Compare this with gx=AfBx+H+K So, we get the values A=1B=-1H=0K=0

Q: [22] Express the function as a product by factoring the right-hand side: f(x)= x' +x² – 4.x - 4.

A: We have to express the given function as a product by factoring the right hand side: fx=x3+x2-4x-4…

Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where…

A:

Q: 1 Compute and simplify the difference quotient for f(x) = V1- x

A: The given function is fx=11-x. Replace x by x+h and obtain that, fx+h=11-x+h. Obtain the difference…

Q: function. You can see that this function does not have an inverse because it is not one to one. The…

A:

Q: If ​f(x)=8x and ​g(x)=7x−6​, find​ (fg)(x).   Let ​f(x)=x2−2 and g(x)=2x.Find the following.…

A: If fx=8x and gx=7x-6, then find fgx.

Q: Finally, we substitute for u to write the answer in terms of x. Use C for the constant of…

A: ∫x3e7x4dx

Q: Differentiate the following functions using product rule. 1. f (æ) = (3x – 9) (x – 6) 2. ƒ (x) = (æ³…

A: The product rule of differentiation is given by: ddxf.g=dfdx.g+f.dgdx

Q: 2) a. Find the inverse of the function f(x) = -8x + 17 %3D

A: From the given information, Consider, f(x) =Y Whereas,  f(x) = -8x +17 Thus, the inverse of can be…

Q: 1. Given f(x) S(x) = x² + 4x - 2 and g (x) = 3x – 4 , find the composition of functions for the…

A:

Q: If ​f(x)=2xand ​g(x)=9x−1​, find​ (fg)(x).   For each pair of​ functions, find​ (fg)(x).…

A: Given,            fx = 2x and g(x) =9x - 1Now,(fg)(x) = f(x)·g(x)            =(2x)·(9x - 1)…