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Dafna1 [17]
3 years ago
15

The point (-5,3) lies on the graph of f(x). Which of the following points lies on f-1(x)?

Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0

Answer:

(3, -5).

Step-by-step explanation:

By the definition of inverses:

\text{If $f(a) = b$, then $f^{-1}(b)=a$}

In other words, the inverse of a function returns the input when given the output of the original function.

We know that the point (-5, 3) lies on the graph of f(x). In other words:

f(-5)=3

Then by definition:

f^{-1}(3)=-5

So, the point (3, -5) must lie on the graph of f⁻¹(x).

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2 years ago
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Answer:

a) I(95,50) = 73.19 degrees

b) I_{T}(95,50) = -7.73

Step-by-step explanation:

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(b) Which partial derivative tells us the increase in I per degree increase in T when (T ,H) = (95, 50)? Calculate this partial derivative.

This is the partial derivative of I in function of T, that is I_{T}(T,H). So

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I_{T}(T,H) = 0.6845 - 2*0.00365T - 0.1565H + 2*0.001H

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Answer:

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Step-by-step explanation:

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