Here are the equations that define three functions. f(x)=4x-5 g(x)=4(x-5) h(x)=(x)/(4)-5 Which function value is the largest: f(100),g(100) h(100) f(100) g(100) h(100) Which function value is the largest: f(-100) g(-100) or h(-100) ? f(-100) g(-100) h(-100)

Let's solve these step by step.**For \(f(100)\):**The function \(f(x)\) is defined as \(f(x) = 4x - 5\).To find \(f(100)\), we substitute \(x\) with 100:\[f(100) = 4(100) - 5\]\[f(100) = 400 - 5\]\[f(100) = 395\]**For \(g(100)\):**The function \(g(x)\) is defined as \(g(x) = 4(x - 5)\).To find \(g(100)\), we substitute \(x\) with 100:\[g(100) = 4(100 - 5)\]\[g(100) = 4(95)\]\[g(100) = 380\]**For \(h(100)\):**The function \(h(x)\) is defined as \(h(x) = \frac{x}{4} - 5\).To find \(h(100)\), we substitute \(x\) with 100:\[h(100) = \frac{100}{4} - 5\]\[h(100) = 25 - 5\]\[h(100) = 20\]Comparing the values of \(f(100), g(100),\) and \(h(100)\), we see that:\[f(100) = 395\]\[g(100) = 380\]\[h(100) = 20\]**The largest value among \(f(100), g(100),\) and \(h(100)\) is \(f(100) = 395\).**Now, let's calculate for \(x = -100\).**For \(f(-100)\):**\[f(-100) = 4(-100) - 5\]\[f(-100) = -400 - 5\]\[f(-100) = -405\]**For \(g(-100)\):**\[g(-100) = 4(-100 - 5)\]\[g(-100) = 4(-105)\]\[g(-100) = -420\]**For \(h(-100)\):**\[h(-100) = \frac{-100}{4} - 5\]\[h(-100) = -25 - 5\]\[h(-100) = -30\]Comparing the values of \(f(-100), g(-100),\) and \(h(-100)\), we see that:\[f(-100) = -405\]\[g(-100) = -420\]\[h(-100) = -30\]**The largest value among \(f(-100), g(-100),\) and \(h(-100)\) is \(h(-100) = -30\).****In conclusion:**- The largest function value for \(x = 100\) is **\(f(100) = 395\)**.- The largest function value for \(x = -100\) is **\(h(-100) = -30\)**.