The function g(x) = 8(4x) is reflected across the x-axis to create f(x). What is the equation for f(x)?
2 answers:
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We conclude that the exponential function is:
f(x) = -1*(2)ˣ
<h3>How to find the exponential function?</h3>Here we know that we have an exponential function of the form:
And we know two points on the function, that are:
Then we have a system of equations to solve, which is:
From the first equation we can solve:
Replacing that in the other equation we can get:
Now that we know the value of a, we can get the value of b:
In this way, we conclude that the exponential function is:
If you want to learn more about exponential functions:
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Answer:
(5 15/20) -(2 8/20) = 3 7/20
Step-by-step explanation:
Problems in "least common denominator" are made much easier if you are familiar with your times tables.
When you compare the denominator 4 to the denominator 20, you see that ...
20 = 5 × 4
An equivalent fraction is made by multiplying by 1. Here, the version of 1 you want for the top fractions is 5/5.
Similarly, the bottom fraction has its denominator multiplied by 4 to get from 5 to 20. The equivalent fraction is found by multiplying the numerator by the same number.
Then the desired difference is ...