Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

The table shows values for functions f(x) and g(x). X f(x)=3x g(x)=2x 1 −2 19 −3 −1 13 −1 0 1 1 1 3 3 2 9 5 What is the solution to f(x)=g(x) ? Select each correct answer. X = −2 x = −1 x = 0 x = 1 x = 2.

Sagot :

ashishdwivedilVT

By hit and trial of each option and also by graph, solutions to f(x) = 3ˣ and  g(x)=2x-1 will be 0 and 1.

given functions are,

[tex]f(x) = 3^x\\\\g(x) = 2x+1[/tex]

let us put x=0

f(0) = 1

g(0) = 1

f(0)=g(0)=1

so 0 will be a solution.

let us put x=1

f(1)= 3

g(1) = 3

f(1)=g(1)=3

so 1 will be also a solution

let us put x=2

f(2) = 9

g(2) = 5

f(2)≠g(2)

so 2 will not be solution.

x=-2 and x=-1 clearly will not be solution because,

g(-2) = negative value but f(x) cannot be negative, being an exponential function.

what is an exponential function?

Any function in form f(x)= pˣ, where p≥1, is called an exponential function.

therefore, solutions to f(x) = g(x) will be 0 and 1.

to get more about exponential function refer to:

https://brainly.com/question/2456547

View image ashishdwivedilVT
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.