+0

# Help ASAP!

+2
50
4
+59

Let $$f(x) = \left\{ \begin{array}{cl} 2x + 7 & \text{if } x < -2, \\ -x^2 - x + 1 & \text{if } x \ge -2. \end{array} \right.$$ Find the sum of all values of x such that f(x) = -5

Mar 24, 2021

#1
+721
+6

grinding some piecewise-defined functions today, aren't we?

we have $2x + 7 = -5$, so $x = -6.$

we also have $-x^2 - x + 1 = -5$, and solving for $x$ gives us solutions of $-3$ and $2.$ As $-3$ is not greater or equal than $-2$, we only consider the $2.$

So, the values of $x$ are $-6$ and $2.$ the sum of these is $\boxed{-4}.$ nice

Mar 24, 2021

#1
+721
+6

grinding some piecewise-defined functions today, aren't we?

we have $2x + 7 = -5$, so $x = -6.$

we also have $-x^2 - x + 1 = -5$, and solving for $x$ gives us solutions of $-3$ and $2.$ As $-3$ is not greater or equal than $-2$, we only consider the $2.$

So, the values of $x$ are $-6$ and $2.$ the sum of these is $\boxed{-4}.$ nice

CentsLord Mar 24, 2021
#2
+59
0

D**n, I hate it when I get exposed

Mar 24, 2021
#3
+721
+4

though, piecewise defined functions are very good for rating so grind on

Mar 24, 2021
#4
+59
+1

BAHAHAHA

Mar 24, 2021