let f(x)=-5x+6 find and simplify f(x+2)

f(x+2)=____

replace the x with x+2

f(x+2 = 5(x+2) + 6
= 5x + 16

didn't notice that little - in front of the 5

f(x+2) = -5(x+2) + 6
you finish it this time

To find and simplify f(x+2), you need to substitute (x+2) into the original function f(x) and simplify the expression.

Given that f(x) = -5x + 6, we substitute (x+2) for x in the function:
f(x+2) = -5(x+2) + 6

Now, let's distribute the -5 across the expression:
f(x+2) = -5x - 10 + 6

Combine like terms:
f(x+2) = -5x - 4

So, f(x+2) simplifies to -5x - 4.