Consider the following functions. f(x) = |x|,   g(x) = 8x + 11 Find  (f ∘ g)(x).         Find the domain of  (f ∘ g)(x).  (Enter your answer using interval notation.)

Q: Find each of the following functions. f(x) = V3 - x, 9(x) = Vx2 - 1 %3D (a) f+g State the domain of…

A: Given:  fx=3-x,    gx=x2-1   To find:  a) f+gb) f-gc) fgd) fg And their corresponding domains.

Q: Consider the following functions. f(x) = 8x – 7, g(x) = - Find (fo g)(x). Find the domain of (f o…

A:

Q: ider the ns. f(x) = x2, g(x) = x + 8 Find (fo g)(x). Find the domain of (fo g)(x). (Enter your…

A:

Q: Find (fg)(x). Find the domain of (fg)(x). (Enter your answer using interval notation.) Find Find the…

A: Here  (f g)(x)= f(x) . g(x) (f/g)(x) = f(x)/g(x)

Q: f(x) = x − 5,   g(x) = |x + 5| Find  (f ∘ g)(x). Find the domain of  (f ∘ g)(x).  (Enter your…

A:

Q: Consider the following functions. Flx) = 9(x) = x + 6 Find (fo g)(x). Find the domain of (fo g)(x).…

A: f(x) =6x, g(x) =xx+6(f o g)(x) = f(g(x))                =f(xx+6)                 =6(xx+6)…

Q: Find each of the following functions. f(x) = V3 – x, g(x) = V x2 – 4 (a) f+ g State the domain of…

A: Domain of a function: The domain of a function is the set of all possible input values. The given…

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.