Find the least integer n such that f(x) is O(x") for each of these functions. a) f(x) = 2x³ + x² log.x b) f(x) = 3x³ + (log.x)4 c) f(x) = (x + x² + 1)/(x³ + 1) d) f(x) = (x + 5log x)/(x + 1)

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: 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: If f(x) = x* + 7, g(x) = x - 5, h(x) = Va, then fo g(x)= go f(x)= ho g(x)= %3D

A:

Q: 9. for f(x)=3x-5 and g(x)=3x^2-3, find the following functions  a.(f o g)(x)  b. (g o f)(x) c.(f o…

A: Consider the function, To calculate the (f o g) (x),   Substitute the value of g(x) in function…

Q: Find a formula for the exponentail function passing through the points (-2,40) and (1,5)

A: The general equation for an exponential equation is  y = a(b)x

Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. f(g(h(2))) B.…

A:

Q: Show that f(x) = 2/x2 + 3x4 – 5x6 is an even function

A:

Q: Show that the function f (x) = (2x2 + 3)3/2 is decreasing for x 6 0 and increasing for x 7 0.

A: Given: f(x)=(2x2+3)32

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: Show that the function f(x) = 2(x^3)-4(x^2)+5x-4 has a zero between x = 1 and x = 2.

A: Please refer to the image below

Q: Let f(x) = 5x^3 + x + 1. If f(2) = 43, then (x − 2) is a factor of f(x).

A: f(x) =5x3+x+1

Q: When the function f(x) = 3(5)^x is changed to f(x) = 3(5)^x + 22, what is the effect? A.). There…

A: Given function f(x)=3(5)x To show the transformation of f(x)=3(5)x+22

Q: Let f(x) = 2? + 3 and g(x) = 3x +5. What is f(g(-1))

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Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. f(g(-3)) B. f(h(7))…

A: I have given the answer in the next step. Hope you understand that

Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: If f(x) = 2×, show that f(x + h) – f(x) = 2×( 2" -1). h Simplify your answers completely at each…

A:

Q: On the accompanying set of axes, graph the equations Y = 4 cosx and y = 2 in the domain -x8xS r.…

A: The given equations are: y=4cosx and y=2.We have to sketch the graph in the domain -π≤x≤π and find…

Q: let f(g(x)) = 8(9 + 3/x^4+2)^7. Find the following functions.  if f(x) = 8x^7 then what is g(x)?…

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Q: Let f(x) = 5x - 2 and g(x) = 2- x^2. Find the following. A) g(f(3)) B) f(g(x)) C) ff(x))

A:

Q: Let /(x) = 7 - 9x - 20. Find f(-3)

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Q: Suppose f(x) = – x + 1. Compute each of the following.

A: Given,           fx=-x+1

Q: Suppose we have two functions f and g defined by f(x) = 2x + 3 and g(x) = x^2 - 3x + 2. Find…

A: