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{:[g(x)=-3x-8],[g(◻)=10]:}

g(x)=−3x−8g(□)=10 \begin{array}{l}g(x)=-3 x-8 \\ g(\square)=10\end{array}

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Full solution

Q. g(x)=−3x−8g(□)=10 \begin{array}{l}g(x)=-3 x-8 \\ g(\square)=10\end{array}
  1. Given function: We are given the function g(x)=−3x−8g(x) = -3x - 8 and we need to find the value of xx such that g(x)=10g(x) = 10.
  2. Setting up the equation: To find the value of xx, we set the function equal to 1010 and solve for xx: −3x−8=10-3x - 8 = 10.
  3. Isolating terms with x: We add 88 to both sides of the equation to isolate terms with xx on one side: −3x−8+8=10+8-3x - 8 + 8 = 10 + 8.
  4. Dividing both sides: This simplifies to −3x=18-3x = 18.
  5. Final solution: Now, we divide both sides by −3-3 to solve for xx: −3x/−3=18/−3-3x / -3 = 18 / -3.
  6. Final solution: Now, we divide both sides by −3-3 to solve for xx: −3x/−3=18/−3-3x / -3 = 18 / -3. This gives us x=−6x = -6.

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