Explain this to me!
the base of a solid in the region bounded by the graphs of y = e-x y = 0, and x = 0, and x = 1. cross sections of the solid perpendicular to the x-axis are semicircles. what is the volume, in cubic units, of the solid?

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

)

the first one, all those points on the line just make a strait line.