Question

Find the value of $h\left(0\right)-3(-g\left(2\right)+f\left(2\right))$ from the above graph.

• A. $23$
• B. $13$
• C. $-\frac{11}{2}$
• D. $-\frac{3}{2}$

Answer 1

The correct option is B $13$

Looking at the graph of $f\left(x\right),g\left(x\right),h\left(x\right)$ and the respective $x$ coordinates of $2,2,0$, we get

$f\left(2\right)=3,g\left(2\right)=6,h\left(0\right)=4$

$\therefore h\left(0\right)-3(-g(2)+f(2\left)\right)$

$=4-3(-6+3)$

$=4+9$

$=13$