The domain for f(x) and g(x) is the set of all real numbers. let f(x) = 3x + 5 and g(x) = x2. find (f − g)(x). a) 3x^3 − 5x^2 b) x^2 − 3x − 5 c) −3x^3 − 5x^2 d) −x^2 + 3x + 5

D

Step-by-step explanation:

note (f - g)(x) = f(x) - g(x) = 3x + 5 - x²

hence (f - g)(x) = - x² + 3x + 5 ← in standard form → D

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional