(3) For the functions f(x) = 3x − 4 and g(x) = x + 2, find the following and determine the domain in each case: (a) g((f)) (b) fg (c)  f/g

Q: Let f(x)=4+3x and g(x)=x²-3. Find each function value: g(f(-2))

A: Topic : function

Q: For f(x) = x2 +6 and g(x) = x² – 5, find the following functions. a. (fog)(x); b. (go f)(x); c.…

A: Answer (a): The given functions are: The compostion functions of f(x) and g(x) is given by: Now,…

Q: Find f(3) for the given function. f(x) 3D (x- 2)(x- 4)(x+5) Type your numeric answer and submit

A: f(x)=(x-2)(x-4)(x+5)Substitute x=3 in f(x)

Q: Given the following functions, find each of the values: f(x) = x² + 2x + 1 %3D g(x) = x + 1 (f +…

A:

Q: Use the functions f(x) = 2x² a. (fᵒg)(3) b. (hj)(12) c. (gᵒh)(x) d. (hᵒg)(x) e. (gᵒf)(x) to…

A: "As per policy the first three subparts have been solved, please repost the question mentioning the…

Q: ctic

A: Given, f(x) = x^2 - 2x

Q: Find f-1(x) for the following: f(x) = 3 – x

A:

Q: For the function f(x)= x+1x2+3,evaluate and simplify the following:           a. f(−1)

A:

Q: 5 and g(X) = 3X the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo g)(- 1); d. (go f)(- 1)

A: Given: fx=x-5 gx=3x2-1 a) f∘gx is given as, f∘gx=fgx               =f3x2-1               =3x2-1-5…

Q: Find the domain of f

A: We have to find the domain of the function: fx=8-3x We know that for any square root function y=fx…

Q: For f(x) = 3-x and g(x)= 2x +X + 9, find the following functions. a. (fo g)(x); b. (g o f)(x); c.…

A:

Q: For f(x) =x+3 and g(x) - 4x +2, find the following functions. a. (fo g)(x); b. (g o f)(x): c. (fo…

A: f(x)=x+3 g(x)=4x+2

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.