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action and find the x-values at which f is 84. f(x)=(4x)/(x-3)

action and find the x x -values at which f f is\newline8484. f(x)=4xx−3 f(x)=\frac{4 x}{x-3}

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Full solution

Q. action and find the x x -values at which f f is\newline8484. f(x)=4xx−3 f(x)=\frac{4 x}{x-3}
  1. Set f(x)f(x) to 8484: Set f(x)f(x) to 8484 and solve for x.\newline84=4xx−384 = \frac{4x}{x-3}
  2. Multiply by (x−3)(x-3): Multiply both sides by (x−3)(x-3) to get rid of the denominator.\newline84(x−3)=4x84(x - 3) = 4x
  3. Distribute 8484: Distribute 8484 on the left side.\newline84x−252=4x84x - 252 = 4x
  4. Subtract 4x4x: Subtract 4x4x from both sides to get all xx terms on one side.\newline84x−4x−252=084x - 4x - 252 = 0
  5. Combine like terms: Combine like terms. 80x−252=080x - 252 = 0
  6. Add 252252: Add 252252 to both sides.\newline80x=25280x = 252
  7. Divide by 8080: Divide both sides by 8080 to solve for xx.x=25280x = \frac{252}{80}
  8. Simplify the fraction: Simplify the fraction. x=3.15x = 3.15

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