-3x+12y=24what is f (8) for the function..?
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the function:
-3x+ 12y = 24
Solve for f(8)
Solution:
In order to solve for f(8), we first solve for the value of y, since functions are usually equate as the value of y. To do so, we transpose -3x to the other side of the equation, hence it must be taken to note that in transposing numbers, the sign changes.
-3x + 12y = 24
12y = 3x + 24
Divide both sides by 12 in order to cancel out 12y, leaving behind y.
12y/12 =(3x + 24)/12
y = 3/12x + 2
y = ¼x + 2
Substitute 8 to each value of x in the function f(x).
y = ¼ (8) + 2
y = 2 + 2
y = 4
f(8) = 4
Final answer:
f(8) = 4