a) Find the domain of f, g, f + g, f – g fg, ff, f/ g. and g/f. b) Find (f + g)(x), (f – g)(x), (fg)(x), (ff)(x), (f/g)(x), and (g/f) (x). 17. f(x) = 2x + 3, g(x) = 3 – 5x

Q: if f(x)=6-9x, find f -1(-30)

A: Given,           fx=6-9x

Q: Which function is equivalent to g(x) = x² + 15x - 54? A) g(x) = (x+ 9)(x - 6) B) g(x) = (x + 18)(x -…

A: Simply factories the g(x) by explicating the middle term.

Q: Which function is equivalent to f(x) = 16x² + 40x + 25? %3D

A: f(x)=16x2+40x+25

Q: finde the difference quotient of f(x)= x2-2x-3 in simplest form

A: Known fact:The difference quotient is computed using the formula is m=( f(x+h) - f(x))/h.

Q: Let f(x)=x +3 and g(x)=-2x+6. Find each of the following. (a) (f+g)(2) (b) (S - 8)X2) (c) (fg)(2)…

A: we have to find the following

Q: sa lifeguard and spots a drowning child 40 meters along the nild. April runs along the shore for a…

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a…

Q: If f (x) = x² + 5 and g(x) =x- 4, evaluate

A: given  f(x)=x2+5 g(x)=x-4

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

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the function f(x) =x´+2x +2 at the given values of the independent variable and simplify a.…

A: To find f(k) for a function f(x), put x=k in f(x) and simplify the expression to get f(k).

Q: Let f(x) = 5x + 8, function g be defined by {(2, 3), (3, 5), (5, 2)}, and function h be defined by…

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.