ANSWER
4) h(-1/2) = 5/8
8) k(a²) = a⁴ + 3
EXPLANATION
4)
h(-1/2) means that we have to replace t by -1/2 into h(t):
[tex]h\mleft(-\frac{1}{2}\mright)=-2\mleft(-\frac{1}{2}\mright)-\frac{3}{2}\cdot\mleft(-\frac{1}{2}\mright)^2[/tex]
Since this has all numbers we can find a numeric answer:
[tex]\begin{gathered} h\mleft(-\frac{1}{2}\mright)=1-\frac{3}{2}\cdot\frac{1}{4} \\ h\mleft(-\frac{1}{2}\mright)=1-\frac{3}{8} \\ h\mleft(-\frac{1}{2}\mright)=\frac{5}{8} \end{gathered}[/tex]
8) This is similar to problem 4, but instead of having numbers we just have to replace by an expression. k(a²) means to replace a by a² in k(a):
[tex]k(a^2)=(a^2)^2+3[/tex]
In this case we don't have numbers to solve, but we can simplify this expression by using the property of exponent of exponents:
[tex]\begin{gathered} k(a^2)=a^{2\cdot2}+3 \\ k(a^2)=a^4+3 \end{gathered}[/tex]
