\( \begin{array}{ll}\text { 3. } f: x \longmapsto 10 x+4 & g: x \longmapsto 5 m x+8 \\ \text { 4. } f: x \longmapsto 3 x+25 & g: x \longmapsto 3 x+(m+1)^{2} \\ \text { 5. } f: x \longmapsto 9 x+18 & g: x \longmapsto(m-1)^{2}(x+2) \\ \text { 6. } f: x \longmapsto 20 x+4 & g: x \longmapsto 2 m x+\frac{m}{2} \\ \text { 7. } f: x \longmapsto 6 x+m & \end{array} \)

Here’s a fun way to look at how functions f and g can interact with different parameters and variables! In scenarios like these, especially that involve adjustable parameters (like m), exploring function compositions or finding intersections can lead to some interesting outcomes. Each pairing provides a unique perspective on how changes can affect the overall function behavior – it’s like tuning a musical instrument, where adjusting one string can create a completely different melody! Dive deep into the world of function evaluations! It can be tricky to remember the order of operations when substituting values, especially when parameters like m come into play. Always double-check your work to avoid simple mistakes, such as miscalculating the sum or product. When testing values or simplifying expressions, take your time to ensure clarity and accuracy for maximum fun in your problem-solving adventure!