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Math  /  Algebra

QuestionGiven f(x)=−3x−1f(x)=-3 x-1, solve for xx when f(x)=−10f(x)=-10.
Answer Attempt 1 out of 2 □\square Submit Answer

Studdy Solution

STEP 1

1. The function f(x)=−3x−1 f(x) = -3x - 1 is a linear function.
2. We need to find the value of x x when f(x)=−10 f(x) = -10 .

STEP 2

1. Set the function equal to −10-10.
2. Solve the resulting equation for x x .

STEP 3

Set the function equal to −10-10:
f(x)=−3x−1 f(x) = -3x - 1 −3x−1=−10 -3x - 1 = -10

STEP 4

Solve for x x by first isolating the term involving x x . Add 1 to both sides of the equation:
−3x−1=−10 -3x - 1 = -10 −3x=−10+1 -3x = -10 + 1 −3x=−9 -3x = -9

STEP 5

Now, divide both sides by −3-3 to solve for x x :
−3x=−9 -3x = -9 x=−9−3 x = \frac{-9}{-3} x=3 x = 3
The value of x x is:
3 \boxed{3}

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