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.
