Question

Please I’m dying to get some help on this question

Answer 1

The two(2) given functions are:

`\begin{gathered} f(x)=-5x+9 \\ g(x)=-(1)/(5)x-9 \end{gathered}`

According to definition of Inverse function;

`f\mleft\lbrace g(x\mright)\}=x\text{ and g}\mleft\lbrace f(x\mright)\}=x\text{ if f and g are both inverse of each other}`

Thus,

`\begin{gathered} f\mleft\lbrace g(x\mright)\rbrack=f(-(1)/(5)x-9) \\ \Rightarrow-5(-(1)/(5)x-9)+9 \\ \Rightarrow x+45+9 \\ f\mleft\lbrace g(x\mright)\}=x+54 \\ so,\text{ f}\mleft\lbrace g(x\mright)\}\\e x \end{gathered}`

Hence, they are NOT inverse of each other.

The correct answer is NO