(X). Give the domain of each. Let f(x) = 3x + 2 and g(x) = 2x-3. Find (f+ g)(x). (f-g)(x), (fg)(x), and (f + g)(x) = (Simplify your answer.)

Q: Find the difference quotient and simplify your answer. f(x) – f(64). X – 64 f(x) = x2/3 + 1, X # 64…

A: Given that f(x)=x23+1 . We have to simplify the difference quotient. Given that,…

Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) =x+9, g(x)= x- 9

A: Given the functions f(x)=x+9g(x)=x-9 To find (f∘g)(x) and (g∘f)(x) and find their domains

Q: If f(x) = x + 3x – 7 and g(x) = 3x – 8, find the following function. gogog

A: fx=x2+3x-7gx=3x-8  g o g o g=gg o g                 =gggx

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 and simplify f(a + h) − f(a) h,    (h ≠ 0) for the following function. f(x) = 6x2 − 4x + 9

A: Let's find.

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.