Question

Given the function f(x) = -5x + 11 + 3, for what values of x is f(x) = -12?
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Answer 1

Answer:

x = 5.2

Step-by-step explanation:

$f(x) = -5x + 11 + 3$

Let's first simplify our first function:

$f(x) = -5x + 11 + 3\\f(x) = -5x + 14$

Now, we just need to set this function equal to our other given function.

$f(x) = -5x+14\\f(x) = -12\\-5x + 14 = -12$

Now, we can add 12 to both sides:

$-5x + 14 + 12 = -12 + 12\\-5x + 26 = 0$

Now, add 5x to both sides:

$-5x+26 = 0\\26 = 5x$

Finally, we'll divide both sides by 5:

$26/5 = 5x / 5\\5.2 = x\\x = 5.2$

Answer: x = 5.2

Answer 2

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