Question

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 1

Answer:

The function g(x) is $3^{3x - 2}$ + 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) = $3^{x - 2}$

And        g(x) = f(3 x) + 4

Now, for x = 3 x

The function f(x) can be written as

f(3 x) =  $3^{3x - 2}$

So, g(x) =    $3^{3x - 2}$ + 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 $3^{3x - 2}$ + 4 and this is Translation Transformation .    Answer

Answer 2

Answer:

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

Step-by-step explanation: