Assume that y varies inversely with x. if y=-6 when x=-2 find y when x=5

3/5

Step-by-step explanation:

The formula for inverse variation is y = k/x.

We are to find k by subbing -6 for y and -2 for x:  -6 = k(-2), or k = 3.

So, we have the inverse relationship y = 3/x.

Now, if x = 5, y = 3/5.

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

)