Question 3: If \(g(x)=3x+2\) and \(h(x)=x^2+1\), then find:
\((vi)\) \(\; \) \(h(\large{-\frac{1}{2}})\)
Solution:
\(h(x)=x^2+1\)
\(h(\large{-\frac{1}{2}})=(\large{-\frac{1}{2}})^2+1\)
\(\ \ \ \ \ \ \ \ \ \ \ =\large{\frac{1}{4}}+1\)
\(\ \ \ \ \ \ \ \ \ \ \ =\large{\frac{1+4}{4}}\)
\(\ \ \ \ \ \ \ \ \ \ \ =\large{\frac{5}{4}}\)