T=2πlg⎯⎯⎯√. this is the formula for the period t of a pendulum of length l. solve this formula for l.

By definition, the formula of the period of a pendulum is given by:

From here, we must clear the value of l.

We have then:

Raising both members to the square we have:

Then, passing gravity to multiply, we have:

When clearing we have:

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

step-by-step explanation:

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