If [tex]f(x)=5 x-12[/tex], what is [tex]f(2)?[/tex]
A. 2
B. -22
C. -2
D. 10
Answer (2)
To find f ( 2 ) , substitute 2 into the function f ( x ) = 5 x − 12 , leading to f ( 2 ) = − 2 . The choice that matches this result is option C. Thus, the answer is − 2 .
;
Substitute x = 2 into the function f ( x ) = 5 x − 12 .
Calculate f ( 2 ) = 5 ( 2 ) − 12 .
Simplify the expression: f ( 2 ) = 10 − 12 = − 2 .
The final answer is − 2 .
Explanation
Understanding the problem We are given the function f ( x ) = 5 x − 12 , and we want to find the value of f ( 2 ) . This means we need to substitute x = 2 into the expression for f ( x ) .
Substitution Substitute x = 2 into the function: f ( 2 ) = 5 ( 2 ) − 12
Calculation Now, we perform the arithmetic: f ( 2 ) = 10 − 12 f ( 2 ) = − 2
Examples
In real life, functions like this can model simple relationships. For example, imagine a store sells items for 5 e a c h , b u tt h er e ′ s a $12 d i sco u n t co u p o na v ai l ab l e . T h e f u n c t i o n f(x) = 5x - 12 w o u l d re p rese n tt h e f ina lp r i ceyo u p a y i f yo u b u y x i t e m s . S o , f(2) = -2$ would mean if you buy 2 items, after applying the coupon, you effectively get $2 back (or the coupon is worth more than the items).
