Answer
False
Work Step by Step
You can see this by subbing it into an equation. lets suppose that f(x) = $x^{2}$
and were evaluating the function at x = 4
the question states that
f($3\times4$) = 3f(4)
f(12) = 3f(4)
$12^2 = 3 \times 4^2$
$144 = 48$
this is clearly incorrect and thus the statement is false