Answer: f(4) = 8, f(-5) = -19, f(2-x) = -3x+2
Explanation:
Let's start by analyzing what we are given:
f(x)=3x-4
In this equation, f is the name of the function.
The number in the parentheses represents x.
The 3x-4 tells us what the equation does. In this instance, we multiply x by 3 and then subtract 4.
Let's start with (a).
f(4)
Since we have established that the number in the parentheses is x, we can plug 4 in for x into the equation f. We must abide by the order of operations. Therefore, we can obtain the following:
f(4) = 3(4) -4
f(4) = 12 -4
f(4) = 8
We can continue this for part (b).
f(-5) = 3(-5) -4
f(-5) = -15-4
f(-5) = -19
Part (c) is slightly different, but applies the same principles we established previously. On this part, we must recall the distributive property. The 3 multiples the 2 and the x. We must also remember to combine like terms.
f(2-x) = 3(2-x) -4
f(2-x) = 6 - 3x -4
f(2-x) = -3x +2