Let g be the function given by g (x) = 3 - x / x + 5. Find and simplify g (2) - 1 / g (-3). A) - 1 / 21 B) - 2 / 21 C) - 4 / 21 D) - 8 / 21

(f + g) (x) = - 2x + 6

(f - g) (x) = 8x - 2

(f * g) (x) = - 15x2 + 2x + 8

(f * g) (x) = 3x+2/4-5x



Step-by-step explanation:

Given f (x) = 3x + 2 and g (x) = 4 - 5x, find (f + g) (x), (f - g) (x), (f * g) (x), and (f / g) (x).

To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.

(f + g) (x) = f (x) + g (x)

= [3x + 2] + [4 - 5x]

= 3x + 2 + 4 - 5x

= 3x - 5x + 2 + 4

= - 2x + 6

(f - g) (x) = f (x) - g (x)

= [3x + 2] - [4 - 5x]

= 3x + 2 - 4 + 5x

= 3x + 5x + 2 - 4

= 8x - 2

(f * g) (x) = [f (x) ][g (x) ]

= (3x + 2) (4 - 5x)

= 12x + 8 - 15x2 - 10x

= - 15x2 + 2x + 8

-4/21