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1. determine the output value when the input value is $x = 6$ for the f…

Question

  1. determine the output value when the input value is $x = 6$ for the function $g(x) = 3x - 2$
  2. evaluate the function $f(x) = 4x - 2$ for $x = 3$

Explanation:

Step1: Substitute $x=6$ into $g(x)$

$g(6)=3(6)-2$

Step2: Calculate the result

$g(6)=18-2=16$

Step3: Substitute $x=3$ into $f(x)$

$f(3)=4(3)-2$

Step4: Calculate the result

$f(3)=12-2=10$

Answer:

For $g(x)=3x-2$ with $x=6$: $16$
For $f(x)=4x-2$ with $x=3$: $10$