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olganol [36]
3 years ago
6

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
Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
8 0

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

<u>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 . </u>

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

Sladkaya [172]3 years ago
4 0

Answer:

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

Step-by-step explanation:

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