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