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

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

Explanation:

Answer 2

The function g(x) is
`3^(3x - 2)` + 4 and this is Translation Transformation .

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