Given the function g(x) = 2x^2 - x^3  a) Use adding/subtracting functions to explain why g(x) would have  as x approaches infinity, g(x) approaches negative infinity as one of its end behaviours.

Q: Let f(x) = 4x + 1 f¹(x)

A: Given query is to find the inverse of the function.

Q: Show that f(x) = (3x - 2) / (5x - 3) , is its own inverse ?

A:

Q: Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no…

A: We need to find asymptote and intercepts.

Q: Find any veritical, horizontal or oblique asymtotes of f(x)= 4-3x/2x-1

A: To find the vertical, horizontal or oblique asymptotes.

Q: Let g(x) = x-6. Find f(x) so that h(x) = (f o g)(x) h(x) = (x-6)^5

A: Given g(x) = x-6 h(x) = (f ∘ g)(x) h(x) = (x-6)5 We have to find f(x).

Q: Graph of the function f(x) = x+a/ x^2 + bx +4 is shown below. What are a and b?

A: Answer

Q: For the following questions, use the function: F(x) = x^3-2x^2-23x+150 If f(x) has x = -6 as one…

A: Here we have to use the given function to answer the question. I have appended the formula used in…

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

A: Given function is,

Q: Explain why both f (x) = x/ (1- x4) and g(x) = p are algebraic g(x) = -x / √(1-x4) functions.

A: f(x)=x1-x4 and g(x)=-x1-x4

Q: Let f(x)=√(x+1/x),g(x)=2/√(x-1) and h(x)=x^2+1 Describe the domains of f(x) and g(x) . Find…

A: We have to find domain

Q: Let g(x) = x^2 - 3 and h(x) = 2x + 5. Find h(g(x)).

A: topic - composite functions

Q: Consider the following functions. f(x)= 1/3x^2-3/4x g(x)=1/2x+5/6 h(x)=1/4x^2-5/8x+2/5 Part a.…

A: We have f(x)=13x2−34xg(x)=12x+56h(x)=14x2−58x+25

Q: If f(x)=x^2 and g(x) is the graph of f(x) shifted to the right 3 units, stretched vertically by a…

A: When f(x) shifts 3 units right then it becomes f(x-3)

Q: If y = g(u) = u2 / (1-2u) and u = h(x) = x +5, determine the composite functions  (a). g(h(x))…

A:

Q: Suppose we have two functions. One is P(t) , which models the number of photographers entering the…

A: (a) The function P(F(x)) would not make any sense because F(x) s the function  and it will give…

Q: Consider the function f(x)=5√x+9x^3+6x f′(x)=

A:

Q: f(x) = x3 -3x2 - 3x +1 x=-1 is a root of the function how would you show that?

A:

Q: I need to find f"(x) when f(x)= (x2+10)6

A:

Q: f(x) = x4 + x? In order to check even, odd, neither, I need to check to see what f( – x) simplifies…

A: If we have to check either a given function f(x) is odd or even we replace x in the function by (-x)…