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Evaluate the expression, given functions f, and g : {:[f(x)=3x-2],[g(x)=5-x^(2)]:} 3f(1)-4g(-2)=" Number "

Evaluate the expression, given functions f f , and g g :\newlinef(x)=3x−2g(x)=5−x2 \begin{array}{l} f(x)=3 x-2 \\ g(x)=5-x^{2} \end{array} \newline3f(1)−4g(−2)= 3 f(1)-4 g(-2)=

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Q. Evaluate the expression, given functions f f , and g g :\newlinef(x)=3x−2g(x)=5−x2 \begin{array}{l} f(x)=3 x-2 \\ g(x)=5-x^{2} \end{array} \newline3f(1)−4g(−2)= 3 f(1)-4 g(-2)=
  1. Calculate f(1)f(1): Calculate f(1)f(1) using the function f(x)=3x−2f(x) = 3x - 2.\newlinef(1)=3(1)−2=3−2=1f(1) = 3(1) - 2 = 3 - 2 = 1
  2. Calculate g(−2)g(-2): Calculate g(−2)g(-2) using the function g(x)=5−x2g(x) = 5 - x^2.\newlineg(−2)=5−(−2)2=5−4=1g(-2) = 5 - (-2)^2 = 5 - 4 = 1
  3. Multiply 33 by f(1)f(1): Multiply 33 by f(1)f(1).3×f(1)=3×1=33 \times f(1) = 3 \times 1 = 3
  4. Multiply 44 by g(−2)g(-2): Multiply 44 by g(−2)g(-2).\newline4×g(−2)=4×1=44 \times g(-2) = 4 \times 1 = 4
  5. Subtract 4g(−2)4g(-2) from 3f(1)3f(1): Subtract 4g(−2)4g(-2) from 3f(1)3f(1).\newline3f(1)−4g(−2)=3−4=−13f(1) - 4g(-2) = 3 - 4 = -1

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