Given the parent function f(x) = 2x, which graph shows f(x) − 1?
1 answer:
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Answer: Product of powers
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The product of powers rules basically says that two powers, let's call them
and 
, with the same base (a) multiplied together equals 
.
In your problem you can see that
and 
are being multiplied together and the exponents are being added, which is what the "product of powers" law says.
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The product of powers rules basically says that two powers, let's call them
In your problem you can see that
The inverse of this function is y =
In order to find the inverse of any function, you must start by switching the y and x terms. After doing so, you can then solve for your new y. The result will be the inverse function. The work for this one is done below for you.
y = 3x + 2----> switch the x and y
x = 3y + 2 ----> subtract 2
x - 2 = 3y ----> divide by 3
= y ----> switch the order for consistency
y =
This is now your inverse function.