Answer:
14. [tex]-3(x+2)+4[/tex]
12. [tex]4[/tex]
15. [tex]0[/tex]
Step-by-step explanation:
Question 14
To find the function in terms of "x+2", simply replace "x" in the original equation with "x+2":
[tex]f(x+2)=-3(x+2)+4[/tex]
Now simplify by distributing the 3:
[tex]f(x+2)=-3x-6+4[/tex]
Finish by adding the constants:
[tex]f(x+2)=-3x-2[/tex]
Question 12
This one follows the same concept! Replace "x" in the original equation with 1/2:
[tex]F(\frac{1}{2})=-2(\frac{1}{2} )+5[/tex]
Simplify:
[tex]f(\frac{1}{2})=-1+5\\f(\frac{1}{2})=4[/tex]
Question 15
For this question, it looks like you are given a set of coordinate pairs in the function. You are asked to find "f(4)". Essentially, you are being asked to find the value of y given 4 as the value of x.
The given coordinate pair (4,0) has 4 as the x value, so the y value when x=4 is 0!
