Question

If fx) = 2х2 - 5 and g(x) = 3х+3, find (f-g)(x).

Answer 1

• D:2x²-3x-8

Answer:

Solution given:

f(x)=2x²-5

g(x)=3x+3

now

(f-g) (x)=?

we have

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

• =2x²-5-(3x+3)
• =2x²-5-3x-3
• adding or subtracting common term
• =2x²-3x-8

Answer 2

Answer:

$2x^{2} - 3x - 8$

Step-by-step explanation:

Step 1:  Define what (f-g)(x) means

(f-g)(x) means that we have two different functions, f(x) and g(x).  (f-g)(x) is a shorter way of writing f(x) - g(x).  Therefore you just plug in the equations and combine like terms.

Step 2:  Find (f-g)(x)

$f(x) = 2x^{2} - 5$

$g(x) = 3x + 3$

$(f-g)(x) = 2x^{2} - 5 - (3x + 3)$

$(f-g)(x) = 2x^{2} - 5 - 3x - 3$

$(f-g)(x) = 2x^{2} - 3x - 8$

Answer:  $2x^{2} - 3x - 8$