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andrey2020 [161]
3 years ago
9

The function f(x) = 5One-fifth is reflected over the y-axis. Which equations represent the reflected function? Select two option

s.
f(x) = One-fifth
f(x) = One-fifthOne-fifthOne-fifth
f(x) = 5One-fifth
f(x) = 5(5)x
f(x) = 5(5)–x

Mathematics
2 answers:
postnew [5]3 years ago
9 0

Answer:

The equations that represent the reflected function are

f(x)=5(\frac{1}{5})^{-x}

f(x)=5(5)^{x}

Step-by-step explanation:

The correct question in the attached figure

we have the function

f(x)=5(\frac{1}{5})^{x}

we know that

A reflection across the y-axis interchanges positive x-values with negative x-values, swapping x and −x.

therefore

f(−x) = f(x).

The reflection of the given function across the y-axis will be equal to

(Remember interchanges positive x-values with negative  x-values)

f(x)=5(\frac{1}{5})^{-x}

An equivalent form will be

f(x)=5(\frac{1}{5})^{(-1)(x)}=5[(\frac{1}{5})^{-1})]^{x}=5(5)^{x}

therefore

The equations that represent the reflected function are

f(x)=5(\frac{1}{5})^{-x}

f(x)=5(5)^{x}

user100 [1]3 years ago
6 0

<u>The answers and letters are:</u>

C

D

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