Find f. g, g. f, and g . g. f(x) = x2, g(x) = x - 1

Q: Let f(x) = x + 3 and g(x) = x² – 3x + 9. Find each of the following. a. (fg)(x) b. (fg)(-2) c.…

A: Given function are fx=x+3 and gx=x2-3x+9. To find: (a). fgx   (b).   fg-2     (c). fg0 Solution: We…

Q: Let f(x) = 3x – 8 and g(x) = x + 2. Find the value of each of the following a. (f + g)(-5) f(2) b.…

A: Put the values in functions and determine the final values

Q: If y = f(x) in the figure, find the following. y -6 -4 -2 (a) f(5) = (b) f(9) = 12 6 -6- (5, 6)…

A:

Q: 16. f" (x) = x² + p3 %3D

A: The given function is f''x=x2+x3. The function f(x) can be obtained by integrating the given…

Q: If f(x) = x² + x and g(x)= a = 1 and a = x. evaluate and simplify f(a+h)-f(a) h and g(a+h)-g(a) h…

A: Given,

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: Let g(x) = 2x-4x2 +x+2. Find g(-3).

A:

Q: Find f. g, g. f, and g. g. f(x) = 3x, g(x) = x² (a) fog (b) g.f (c) 9.9

A: given f(x)=3x and g(x)=x4

Q: Find f.g, g.f, and g. g. f(x) = 4x, g(x) = x4 (a) f.g (b) g.f (c) 9. 9

A: We can use the concept of function in order to solve the given problem.

Q: Let f(x) = 4x² +4 and g(x) = -5x+5. Find the following. (1-g)(-3) (1-9)(-3)=

A:

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.