Question

14. Let f(x) = -3x+4. Find and simplify f(x + 2).

f(x+2) = (Simplify your answer.)

12. Let f(x) = -2x+5. Find f(1/2) simply ur answer

15. Let f = {(4,0),(-4,4),(1,-9) Find f(4).

Answer 1

14.
`-3(x+2)+4`

12.
`4`

15.
`0`

Explanation:

Question 14

To find the function in terms of "x+2", simply replace "x" in the original equation with "x+2":

`f(x+2)=-3(x+2)+4`

Now simplify by distributing the 3:

`f(x+2)=-3x-6+4`

Finish by adding the constants:

`f(x+2)=-3x-2`

Question 12

This one follows the same concept! Replace "x" in the original equation with 1/2:

`F((1)/(2))=-2((1)/(2) )+5`

Simplify:

`f((1)/(2))=-1+5\\f((1)/(2))=4`

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!