The ordered pair that is on g(x) is (2, -3/400)
How to determine the ordered pair?
The complete question is in the attached image
The function is given as:
[tex]f(x) = \frac 34(10)^{-x}[/tex]
The rule of reflection across the x-axis is:
g(x) = -f(x)
So, we have:
[tex]g(x) = -\frac 34(10)^{-x}[/tex]
Set x = 2.
So, we have:
[tex]g(2) = -\frac 34(10)^{-2}[/tex]
Evaluate the exponent
[tex]g(2) = -\frac 34 * \frac 1{100}[/tex]
Evaluate the product
[tex]g(2) = -\frac 3{400}[/tex]
This means that:
(x, y) = (2, -3/400)
Hence, the ordered pair that is on g(x) is (2, -3/400)
Read more about function transformation at:
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