Answer: The required value of k is 3.
Step-by-step explanation: We are given to find the value of k in the following function f(x) if [tex]f(-3)=121:[/tex]
[tex]f(x)=112-kx~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Substituting x = -3 in equation (i), we get
[tex]f(-3)=112-k\times(-3)\\\\\Rightarrow 121=112+3k\\\\\Rightarrow 3k=121-112\\\\\Rightarrow 3k=9\\\\\Rightarrow k=\dfrac{9}{3}\\\\\Rightarrow k=3.[/tex]
Thus, the required value of k is 3.
