Question

If given f(x) = x 4 and g(x) = –2x2 3x – 1, what is (f –

Answer 1

Answer:

$2x^2-2x+5$

Step-by-step explanation:

Given,

$f(x)=x+4$

$g(x)=-2x^2+3x-1$

$(f-g)(x)=f(x)-g(x)$        ( Subtraction of two functions )

$=(x+4)-(-2x^2+3x-1)$  ( By substituting values )

$=x+4+2x^2-3x+1$      ( Distributive property )

$=2x^2-2x+5$             ( Combining like terms )

Hence,

$(f-g)(x)=2x^2-2x+5$        

Option d is correct.

Answer 2

F(x) = x + 4
g(x) = -2x^2 + 3x - 1
(f - g)(x) = f(x) - g(x) = x + 4 - (-2x^2 + 3x - 1) = x + 4 + 2x^2 - 3x + 1 = 2x^2 - 2x + 5