The pair of functions are inverse of each other is, [tex]\rm f(x)=5x-9 \ and \ g(x) = \rm \frac{x-9}{5}[/tex].Option C is correct.
What exactly is a function?
A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
On checking the function one by one we get that option c satisfies the conditions;
[tex]\rm f(x)=5x-9[/tex]
Change the coefficient;
y=f(x) as x=f(y)
The function is written as;
y=5x-9
x=5y-9
Simply the function;
[tex]\rm y = \frac{x+9}{5} \\\\ y=g(x) \\\\\ g(x) = \frac{x+9}{5}[/tex]
The pair of functions are inverses of each other is,[tex]\rm f(x)=5x-9 \ and \ g(x) = \rm \frac{x-9}{5}[/tex]
Hence option C is correct.
To learn more about the function, refer to:
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