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{:[f(x)=-7x-1],[f(◻)=-8]:}

f(x)=−7x−1f(□)=−8 \begin{array}{l}f(x)=-7 x-1 \\ f(\square)=-8\end{array}

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Domain and range of absolute value functions: equationsright chevron icon

Full solution

Q. f(x)=−7x−1f(□)=−8 \begin{array}{l}f(x)=-7 x-1 \\ f(\square)=-8\end{array}
  1. Given function: We are given the function f(x)=−7x−1f(x) = -7x - 1 and we need to find the value of xx such that f(x)=−8f(x) = -8.
  2. Setting up the equation: Set the function equal to −8-8 to solve for xx: −7x−1=−8-7x - 1 = -8.
  3. Isolating terms with x: Add 11 to both sides of the equation to isolate terms with xx on one side: −7x−1+1=−8+1-7x - 1 + 1 = -8 + 1.
  4. Simplifying the equation: Simplify both sides of the equation: −7x=−7-7x = -7.
  5. Solving for x: Divide both sides by −7 -7 to solve for x: x=−7−7 x = \frac{-7}{-7}
  6. Calculating the value of x: Calculate the value of x: x=1x = 1.

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