How do you show that if f(x) is O(x), then f(x)=O(x2)?

Q: 3) Show that (f o g)(x) = (go f)(x) = x. f (x) = 4 – 3x g(x) = (4 – x)

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Q: Express the function h(x) 4 in the form h(x) = (ƒ o g)(x) where f(x) # x and g(x) # x. 1+ e0.4x а)…

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Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 2x + 1. 3 h(x) = /2x+1 f(x) =|

A: topic - functions

Q: Can you please find (f o g o h)(x) where f, g and h are defined, and it's in the attached picture.…

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Q: Does f=g?

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Q: Find f(x) and g(x) such that h(x) = (fo g)(x). 8 h(x) = - x-2 Suppose that g(x) = x- 2. f(x) =

A: It is an important part of statistics. It is widely used.

Q: Find f(x) and g(x) such that h(x) = (f o g)(x). 7 h(x) = х- 9 Suppose that g(x)=x- 9. f(x) =

A: This question is related to the composite functions . We will use the properties of composite…

Q: If f(x) = 2 and g(x) = x, find (ƒ – g) (x) I,

A: Given functions  We have to find (f-g)(x)=?

Q: Find f(x) and g(x) such that h(x) = (f o g)(x) and g(x) = /x +5. h(x) = (Vx +5)* f(x)=

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Q: Find f(x) and g(x) such that h(x) = (fog)(x). h(x) = 9 X +9

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Q: Find h(x) and g(x) such that f(x) = (h o g)(x). f(x) = V3x +4 Suppose that g(x) = 3x+4. h(x) = %3D

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Q: Prove that f(x) = 5x? + 3x – 26 is 0(x²). %3D

A: Given: f(x) = 5x2 + 3x – 26  is  θ(x 2).

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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Q: What is the end behavior for this equation? f (x) = (x − 6) (x + 1) O As a →→∞, f(x) →→∞, and as a…

A: Given: Now,             limx→∞ f(x)=limx→∞ x-6x+1=limx→∞ x-6·limx→∞ x+1=∞·∞ =∞

Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 2x+9. 4 h(x) = V2x +9 f(x) =

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Q: Find the composition f[g(x)] if: O 2-3u10 (10 - 15x2)5 O f(u) = u5 and g(x) = 2 - 3x² (2-3x²)²…

A: fu=u5 , gx=2-3x2

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.