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nirvana33 [79]
2 years ago
7

If you horizontally compress the exponential function f(x) = 2x by a factor of 3, which of these is the equation of the new func

tion???????
A. f(x) = 6x
B. f(x) = 2(3x)
C. f(x) = 5x
D. f(x) = 3(2x)

Mathematics
2 answers:
snow_lady [41]2 years ago
8 0
<h2>Answer:</h2>

Option: B is the correct answer.

    The equation of the new function is:

               B. f(x) = 2^{3x}

<h2>Step-by-step explanation:</h2>

For a given function f(x) the transformed function:

g(x)=f(bx) gives a horizontal compression or stretch depending on b

if b>1 then the graph is compressed.

and if 0 < b <1 then the graph is stretched.

We are given a parent function f(x) as:

                   f(x)=2^x

Here we have b=3

Hence, the equation of the new function will be:

            f(3x)=f(x)=2^{3x}

Hence, the correct answer is :  Option: B

             

Blababa [14]2 years ago
4 0
Your answer would be A.
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