Notice that the notation f(g(x)) is indicating that you replace x in f(x) with g(x). Simplify the following. 25. f(g(x)) 26. f(h(x)) 27. g(f(x))

Q: 10 Use the graph of the function f shown to determine f(). 3 f(1) = 10 -) f(x) X

A:

Q: Let f(1) = 2/L. If g(z) is the graph of f(r) shifted up 1 units and right 5 units, write a formula…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n…

Q: Write the expression f(x)-L <ɛ, for the function f (x) = /x . L= V2. and ɛ = 0.5.

A: Given: f(x) = x, L = 2and ε = 0.5.

Q: Complete the table. F(x) = { - 1 x + 16₁ x 5 0 ((x-4)², x > 0

A:

Q: 2 Given the functions f(x) = 3x - 2 and g(x) = x² + 1, find: a. f(x) + g(x) b. f(g(x)) c. (f - g)(4)…

A:

Q: Find the domain and range of y=f(x)

A: To find the domain and range of y=fx

Q: When finding the inverse of a relation, 1st you replace f(x) with y, 2nd switch the x's and y's.…

A: Finding the inverse of a relation: Let's say the relation given by the function f(x)= x+a Where 'a'…

Q: solve

A:

Q: f(g(-3)) = . g(f(-1) =,

A:

Q: At the Fidelity Credit Union, a mean of 5.8 customers arrive hourly at the drive-through window.…

A: Givena mean of 5.8 customers arrive hourly at the drive through windowλ=5.8 per hourlyLet "x"be the…

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.