What is the area and width
1 answer:
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Step-by-step explanation:
Putting both functions into a graphing calculator, we can easily find the domain and range. (attatched)
By looking at the graph, we can tell that f(x) is a quadratic function because of the symmetry. We can also tell that it never goes below 4. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 4}
By looking at the graph, we can tell that g(x) is an exponential function because it has a curve, and never goes below the x. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 0}
Answer:
f'(x) = 5[1 + f²(x)]
Step-by-step explanation:
By definition, f'(x) = lim h => 0 {[f(x + h) - f(x)]/h}
This was used, together with the given limits:
lim x => 0 f(x) = 0
lim x => 0 f(x)/x = 5,
to determine the derivative of the given function:
f(x + y) = [f(x) + f(y)]/[1 - f(x)f(y)].
The workings are shown in the attachments.
