Question

which of the following shows the correct use of function notation for the function $f(x)=3x+5$?$square$ $f(2)$ means replace the variable with the number 2 and simplify; the result is$f(2)=3(2)+5=11LXB0square$ $f(2)$ means $f$ times 2; the result is $2fLXB1square$ none of thesequestion help: $\blacktriangleright$video $\blacktriangleright$written example $\blacktriangleright$message instructor

Explanation:

Function notation $f(a)$ means substituting $x=a$ into the function $f(x)$, then simplifying to find the output. For $f(x)=3x+5$, $f(2)$ requires replacing $x$ with 2, calculating $3(2)+5=11$. Other options misinterpret $f(2)$: multiplying the function by 2, treating it as a product, or solving for $x$ when the function equals 2 are incorrect.

Answer:

A. $f(2)$ means replace the variable with the number 2 and simplify; the result is $f(2)=3(2)+5=11$