Question

f(x)=
⎩
⎨
⎧
​

x+6
−5
−(x+5)
2
+1
​

for x<−5
1
1
​

for x=−5
1
1
​

for x>−5
1
1
​

​

Find , f, of, minus, 6
Find f(−6)

Answer 1

I can't read the first branch clearly from your formatting. But since -6 < -5 we use the x < -5 piece. Please confirm what that piece is.

If the x < -5 piece is -(x+5)^2 + 1, then
f(-6) = -(-6+5)^2 + 1 = -1^2 + 1 = 0.

(If the piece were (x+6)/(-5) instead, f(-6) = ( -6+6)/-5 = 0 as well.)

Send the exact first-branch expression if you want me to evaluate a different formula.