21. Which of the following best describes rational function if p(x) and q(x) are polynomial functions? a. f(x)=p(x)•q(x) b. f(x)=p(x)+q(x) ç, f(x)=p(x)/(q(x)) d. f(y)=(p(x))/(q(x))

Q: The critical point of the function f(x) = a – 6x² + 16x + 13 is %3D - (1, –4) (-2,4) (2, 4) (-2, –4)

A: The critical point of the function y=fx is the point where f'x=0. The power rule of differentiation…

Q: 8. Find f-1 (x) for f (x) = 2-4

A:

Q: Let k(x) = 1 -x4, where j(x) = y + k(x) and y = x6 - x2. Describe the graph of j(x) based on the…

A: Given: k(x)=1-x4 where, j(x)=y+ k(x) y=x6-x2 Then j(x)=x6-x2+1-x4j(x)=x6-x4-x2+1 The zeroes of the…

Q: Find f(g(x)). 5. f(x) = g(x)=x²-4 x+1 5 7. f(x) = {/ g(x) = √6-x

A:

Q: 3. Find [g f](x) for f(a) = 2x +5 g(2) = 2 – 3. and

A:

Q: 7. Differentiate f(x) = (3x + x)² in three ways. When you have completed all three parts, show that…

A: Given that, fx=3x+x2

Q: f(x)=2-x/3x+4          1. f(2)  2. f(0)

A: 1) Plug x=2 to find f(2) and simplifyAnswer(1): 0

Q: Let f (x) = x>(x2 - 1), g(x) = (1 - x)>(1 + x), and h(x) = 2>(3x + 1). Express as rational…

A: fx=xx2-1,  gx=1-x1+x  &  hx=23x+1 Now, gx+1=1-x+11+x+1=1-x-1x+2=-xx+2

Q: Find f(x) and g(x) such that h(x) = (fog)(x). h(x) = (9x + 9)² Choose the correct pair of functions.…

A: The given function is:h(x)=9x+92

Q: f(X) = 2/X       g(X) = X+1/9     (What is the domain?)

A:

Q: The range of the function f(x) = x2 - 2x + 19 is:

A: In this question we have to find the range of the function given f(x)=x2-2x+19

Q: For the function f defined by f(x) = 2x*-8x²+10x²-7x+1 for x E R* Use the Ad-hoc Calculations method…

A: Big O notation is a mathematical notation that describes the limiting behavior of a function when…

Q: Q1. (a) Find the domain of the functions f(r) = V(1 – r)(x – 3) and g(x) = In(x – 2)(5 – x). Also…

A: Given, The functions

Q: Let the quadratic function f be defined by f(x)=2x-x² Compute the following. (a) f(4) (b) f(0) (c)…

A: Given query is to find the Indicated function operation.

Q: x + Vx? -1 f (x) = X

A: Consider the given function, fx=x+x2-1x the domain of the function is the set of all possible real…

Q: 16) Find (f • g)(x) for f (x) = 4x³ – 5 and g(x) = 2x. %3D -

A:

Q: ,x2

A:

Q: Find where f(x) = 1-ax x(x-a)(x+b) is discontinuous.

A:

Q: Find the domain of the rational function f(x) =5x/(x - 4).

A: Consider the provided function, fx=5xx-4 Find the domain of the rational function. The domain of the…

Q: find the domain of  f(x)=√ 2x+3 1. x ≥ 0 2. x ≥ 2/3 3. x ≥ -  2/3 4. x ≥ 0

A: we have to find the domain of f(X)

Q: f(x) =  x+6/x-6     o   x + 6 x − 6   where is the concavity of this function downward?

A: We are given a function f(x). We need to find the interval of concave down.

Q: Q1. (a) Find the domain of the functions f(x) = V(1– x)(x – 3) and g(x) = In(x – 2)(5 – x). Also…

A: "Since you have asked multiple questions, we will solve the first part for you. If you want any…

Q: 7.) For the functions f (x) = 3x2 – 5x +7 and g(x) = 4x +8 find (f • g)(x)

A:

Q: Consider the two functions f(x) = x^2 + 3x and g(x) = {x^2 − 2, x ≤ 0},  {x + 2, x > 0} (a) Evaluate…

A:

Q: Let f ( x ) = x^ 2 − 1 and g ( x ) = 3 x. Find ( f ∘ g ) ( x ). group of answers 3x^3 − 3x 3 x^2…

A: Given functions, f(x)=x2-1 and  g(x)=3x