Verified Answer :

TSO

Let us expand that

\(\sf f(x)=x(x+5)\)
\(\sf f(x)=x^2+5x\)

Since it has \(\sf x^2\) in it, it is now a linear function.

So the answer is \(\sf \boxed{No, ~this~ is~ not~ a ~linear ~function.}\)

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f(x)= x(x+5)
= x²+5x
this is not a linear function as it is not in the form y=mx+b
it is a quadratic function with x intercepts at 0 and -5 and y intercept 5