For the functions f(x)=−10x+15 and g(x)=3x+5 find the following.
(fcircle◦g)(x) and its domain
(gcircle◦f)(x) and its domain

(fcircle◦g)(x)  : -30x- 35.  domain: (-infinity, +infinity)

(gcircle◦f)(x) : -30x+ 50. domain: (-infinity, +infinity)

Step-by-step explanation:

The circle simply means to replace the x in the function with the other function. The domain is the x values. Since both of these equations are linear, it's negative infinity to infinity.

(fcircle◦g)(x): -10( 3x +5) +15

                    -30x -50 +15

                    -30x -35

(gcircle◦f)(x): 3(-10x +15) +5

                    -30x + 45 + 5

                    -30x +50

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