Question

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

Answer 1

Answer:

​(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