f(x) = 5 − x,    g(x) = x2 − 4x Find (f + g)(x).       Find the domain of (f + g)(x). (Enter your answer using interval notation.)     Find (f − g)(x).       Find the domain of (f − g)(x). (Enter your answer using interval notation.)     Find (fg)(x).       Find the domain of (fg)(x). (Enter your answer using interval notation.)     Find(f/g)(x).       Find the domain of (f/g)(x). (Enter your answer using interval notation.)

Q: g(x)=-4x(2x-8)(x+2) Determine the intervals(s) of x on which the value of the function is positive.…

A: Given: The function is g(x)=-4x(2x-8)(x+2).

Q: For g (x) = x² + 8x + 4, find and simplify g(1 + h) – g(1). (a) g(1+h) = (b) g(1) = (c) g(1+ h) –…

A: Given,       g(x)=x2+8x+4

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 + 2 a. Find an equation for f -1(x).b. Graph f and f -1 in the same rectangular coordinate…

A: (a) The function f(x)=x+2.  To find the inverse of the function, first replace x with y and obtain…

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

A:

Q: f(x) = √(x - 1) a. Find an equation for f -1(x).b. Graph f and f -1 in the same rectangular…

A: Given function is y=x-1.

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.