Two functions are defined as shown below. f (x) = (Vx +2) g(x) = (x - 2)° a) Give the domain and range of f and g. b) Write an expression for the function (g + f)(x) and give its domain. c) Find an expression for the function (g o f)(x) and give its domain and

Q: Write the function as a composition of two functions. y = (9x+8)7

A: The given function y=9x+87. We have to write the function as a composition of two functions.

Q: Consider the function: = f(x) 7x3+7x² + x Step 2 of 2: Evaluateƒ"(-8), ƒ" (-2), and f" (-6), if they…

A: Step 1:To evaluate the second derivative f′′(x) of the function f(x)=7x3+7x2+x, we need to follow…

Q: Find the x-intercept(s) of the following function: -1 -1 -2 O (2, 0) O (0, 3) O (0, 2) and (0, 3) O…

A: The x-coordinate is the point on the curve when it intersects the x-axis. x-intercepts can be…

Q: Determine whether the equation y = -√(x + 4) defines y as a function of x.

A:

Q: The function y = f(x) is transformed to become the function g(x) = 4f(b(x - 5)). The point (4,6) on…

A:

Q: Write the function in its final position. f(x)= x³ first moved 2 units downward, then 3 units to the…

A: The objective is to write the function in its final position.

Q: Exampe(8) Find the domain and range to the function y =: 117

A: We have to find Domain and Range of the function y = 1x Domain of a function is the input value or…

Q: Let f(x) = 3-4x. Find f(-2). f(-2)% =

A: Let f(x) = 3 - 4x, We have to find the value of f(-2)

Q: Determine x. (Figure not drawn to scale.) 1.8 2.5 B x+3.5

A:

Q: Find f(x) for the following function: f(x) 4 + 6 f(x) =

A:

Q: B: Draw the function y = √√x-8

A: First we compare this equation with general equation of parabola then transform.

Q: a.) What is the domain of the function y =√x-4? b.) If f(x) = x^2 - 3x, find f(-1.8).

A:

Q: Let f = {(- 2,1),(1, - 1)} and g = {(-2, - 4),(3,0),(5,6)}. Find f+g and its domain.

A:

Q: Find an expression for the function f(x) whose graph is a line passing through the points (4, 5) and…

A: Find the slope of the line. Start with the slope formula.

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.