if $f(x)=3x^{2}+1$ and $g(x)=1 - x$, what is the value of $(f - g)(2)$?\n12\n14\n36\n38

if $f(x)=3x^{2}+1$ and $g(x)=1 - x$, what is the value of $(f - g)(2)$?\n12\n14\n36\n38

if $f(x)=3x^{2}+1$ and $g(x)=1 - x$, what is the value of $(f - g)(2)$?\n12\n14\n36\n38

Answer

Explanation:

Step1: Find the formula for (f - g)(x)

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

Step2: Substitute x = 2 into (f - g)(x)

$(f - g)(2)=3\times2^{2}+2$ $=3\times4 + 2$ $=12 + 2$ $=14$

Answer:

B. 14