900264118
Answered

Given f(x)=3^(x-2) and g(x)=f(3x)+4, write the function rule for function g and describe the types of transformations that occur between function f and function g

Answer :

Answer:

The function g(x) is [tex]3^{3x - 2}[/tex] + 4 and this is Translation Transformation .  

Step-by-step explanation:

Given as :

The two functions f(x)  and  g(x) is as given

Function f(x) = [tex]3^{x - 2}[/tex]

And        g(x) = f(3 x) + 4

Now, for x = 3 x

The function f(x) can be written as

f(3 x) =  [tex]3^{3x - 2}[/tex]

So, g(x) =    [tex]3^{3x - 2}[/tex] + 4

While plotting the function f(x)  and  g(x)  on the graph , the points translate from one to other quadrant , so this is a type of TRANSLATION TRANSFORMATION .

Hence The function g(x) is [tex]3^{3x - 2}[/tex] + 4 and this is Translation Transformation .    Answer

thomasschaeferjr14

Answer:

The function [tex]g(x)=3^{3x-2}+4[/tex] and this is a Translation transformation.

Step-by-step explanation:

Other Questions