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dummyboi57
23.04.2020 •
Mathematics
Which function represents a reflection of f(x) = Three-eighths(4)x across the y-axis?
g(x) = NegativeThree-eighths (one-fourth) Superscript x
g(x) = Negative three-eighths(4)x
g(x) = Eight-thirds(4)-x
g(x) = Three-eighths(4)–x
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Ответ:
Given:
The given function is![f(x)=\frac{3}{8}(4)^x](/tpl/images/0621/9989/41a29.png)
The function f(x) is reflected across the y - axis.
We need to determine the function g(x) that represents the reflection of f(x).
Function g(x):
Let us determine the function g(x).
If the function is reflected across the y - axis, then the reflected function becomes g(x) = f(-x)
Thus, applying the rule, we have;
Thus, the reflection of the function f(x) across the y - axis is![g(x)=\frac{3}{8}(4)^{-x}](/tpl/images/0621/9989/d679b.png)
Hence, Option d is the correct answer.
Ответ: