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\( f(x)=3 x-4 \) y \( g(x)=x+2 \)

Ask by Ellis Morgan. in Ecuador
Mar 14,2025

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Las composiciones son: - \( f(g(x)) = 3x + 2 \) - \( g(f(x)) = 3x - 2 \)

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Bonus Knowledge

Did you know that linear functions like \( f(x) \) and \( g(x) \) are all about straight lines? The slope of a line indicates how steep it is, while the y-intercept tells where the line crosses the y-axis. In the case of \( f(x) = 3x - 4 \), the slope is 3, meaning for every unit you move right, the line rises by 3 units. Meanwhile, \( g(x) = x + 2 \) has a slope of 1, making it less steep! When graphing these two equations, you can determine their point of intersection by setting them equal to each other: \( 3x - 4 = x + 2 \). Solving this equation gives you the x-coordinate of the intersection, which can then be plugged back into either original function to find the corresponding y-coordinate. Happy graphing!

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