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t 9 Exam onential and Logarithmic Functions Date qquad e qquad the given functions f and g, find the requested function. f(x)=2x-2;g(x)=6x-8quad" Find "(f-g)(x).

t 99 Exam onential and Logarithmic Functions\newlineDate \qquad e \qquad the given functions f f and g g , find the requested function.\newlinef(x)=2x−2;g(x)=6x−8 Find (f−g)(x). f(x)=2 x-2 ; g(x)=6 x-8 \quad \text { Find }(f-g)(x) .

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Q. t 99 Exam onential and Logarithmic Functions\newlineDate \qquad e \qquad the given functions f f and g g , find the requested function.\newlinef(x)=2x−2;g(x)=6x−8 Find (f−g)(x). f(x)=2 x-2 ; g(x)=6 x-8 \quad \text { Find }(f-g)(x) .
  1. Identify Operation: To find (f−g)(x)(f-g)(x), we subtract g(x)g(x) from f(x)f(x): (f−g)(x)=f(x)−g(x)(f-g)(x) = f(x) - g(x).
  2. Substitute Functions: Substitute the given functions into the equation: (f−g)(x)=(2x−2)−(6x−8)(f-g)(x) = (2x-2) - (6x-8).
  3. Distribute Negative Sign: Distribute the negative sign to terms in g(x)g(x): (f−g)(x)=2x−2−6x+8(f-g)(x) = 2x - 2 - 6x + 8.
  4. Combine Like Terms: Combine like terms: (f−g)(x)=(2x−6x)+(−2+8)(f-g)(x) = (2x - 6x) + (-2 + 8).
  5. Simplify Expression: Simplify the expression: (f−g)(x)=−4x+6(f-g)(x) = -4x + 6.

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