The problem gives the function $f(x) = 3x - 12$. Part I asks us to determine the value of $f(5)$. Part II asks us to solve the equation $f(x) = 3$.

AlgebraFunctionsLinear FunctionsEvaluating FunctionsSolving Equations
2025/3/19

1. Problem Description

The problem gives the function f(x)=3x12f(x) = 3x - 12. Part I asks us to determine the value of f(5)f(5). Part II asks us to solve the equation f(x)=3f(x) = 3.

2. Solution Steps

I. To find f(5)f(5), we substitute x=5x=5 into the expression for f(x)f(x):
f(5)=3(5)12f(5) = 3(5) - 12
f(5)=1512f(5) = 15 - 12
f(5)=3f(5) = 3
II. To solve f(x)=3f(x) = 3, we set the expression for f(x)f(x) equal to 3 and solve for xx:
3x12=33x - 12 = 3
Add 12 to both sides of the equation:
3x=3+123x = 3 + 12
3x=153x = 15
Divide both sides by 3:
x=153x = \frac{15}{3}
x=5x = 5

3. Final Answer

I. f(5)=3f(5) = 3
II. x=5x = 5

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