Answer: The required value of h(-9) is -12.
Step-by-step explanation: We are given the following function :
[tex]h(r)=\dfrac{2}{3}r-6~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We are to find the value of h(-9).
To find the value of h(-9), we need to substitute r = -9 in equation (i).
From equation (i), we get
[tex]h(-9)\\\\=\dfrac{2}{3}\times(-9)-6\\\\\\=2\times(-3)-6\\\\=-6-6\\\\=-12.[/tex]
Thus, the required value of h(-9) is -12.
