The depth y (in inches) of a lake after x years is represented by the equation y=0.2x+42 . How much does the depth of the lake i
1 answer:
Answer:
<h2><em><u> 42.8 in</u></em></h2>Step-by-step explanation:
Step one:
given data
we are told that the expression for the depth of a lake after x years is given by
Required
The value of y when x= 4
Step two:
substitute the value of x in the expression to get y
<em><u>After 4 years the depth will increase by 42.8 in</u></em>
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Answer:
2
Step-by-step explanation:
So to figure this out we just need to flip the values of x and y in the table and then redefine that as the function g(x), because an inverse is essentially the reverse!
So if we flipped x and y's for f(x). We would see that our output or y of g(x) is -3 when x = 2, or in other words g(2) = -3. This means that we are now going to solve for when f(-3). So now lets look at the table and find the value at x = -3 for f(x). This value is 2, so the value of f(g(2)) = 2.
*In the future*
When you have a composite function of two inverses they essentially cancel out and would leave whatever the value of x is. So if we know f(x) and g(x) were inverses the value of f(g(2)) would just be 2.
For example:
ln(x) and e^x are inverses so if I had a composition like this:
The answer to this would be 2 because these inverse functions "'cancel" out
So