Let f(x)=1/x and g(x)= x^2 + 5x

a. find (f · g)(x).

b. find the domain and range of (f · g)(x).

show steps i would gladly appreciate it

See below.

Step-by-step explanation:

(a)   (f - g)(x)

= f(x) - g(x) =   1/x - (x^2 + 5x)

= 1/x - x^2 - 5x.

(b)   When x = 0,  1/x is indeterminate so the Domain is All Real except x = 0.

The range is All Real values of  (f - g)x except when x = 0.

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: