Question

If $f\left(x\right)=\sqrt{x^2-3x+6}$ and $g\left(x\right)=\frac{156}{x+17}$, find the value of the composite function $g\left(f\right(4\left)\right)$.

• A. $5.8$
• B. $7.4$
• C. $7.7$
• D. $8.2$
• E. $10.3$

Answer 1

The correct option is C $7.7$

$f\left(x\right)=\sqrt{x^2-3x+6},g\left(x\right)=\frac{156}{x+17}g\left(f\right(4\left)\right)=?f\left(4\right)=\sqrt{10}g\left(f\right(4\left)\right)=g\left(\sqrt{10}\right)=3.16g\left(f\right(4\left)\right)=7.7$