The function f(x) = 2x 1 represents the altitude of a plane, where x is the time in minutes. the function g(x) = x2 − 10 represe
1 answer:
To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then exists g(10) = 90.
The value of g(10), we have to substitute in every x of f(x), the
exists f(90) = 181
Therefore, the value of f[g(10)] exists 181.
<h3>How to estimate the value of f[g(10)]?</h3>
To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then
substitute the value of x = 10
simplifying the equation, we get
g(10) = 100 - 10
g(10) = 90
We have the value of g(10), we have to substitute in every x of f(x), then
f(x) = 2x + 1
substitute the value of x = 90
f(90) = 2(90) + 1
simplifying the equation, we get
f(90) = 180 + 1
f(90) = 181
The value of f[g(10)] exists 181.
Therefore, the correct answer is option b) 181.
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When x=-1: 
Ok that gives us a little more information.
If we implicitly differentiate with respect to t, from the very start, then we can apply our product rule, ya?
The right side is zero, derivative of a constant is zero.
Where x' is dx/dt and y' is dy/dt.
From here, plug in all the stuff you know:
y' = -3
x = -1
y = 4
and solve for x'.
Hope that helps!
Ok that gives us a little more information.
If we implicitly differentiate with respect to t, from the very start, then we can apply our product rule, ya?
The right side is zero, derivative of a constant is zero.
Where x' is dx/dt and y' is dy/dt.
From here, plug in all the stuff you know:
y' = -3
x = -1
y = 4
and solve for x'.
Hope that helps!