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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:

Question

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)

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Verificación de expertos
Yves Veteran · Tutor for 9 years

Answer

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 with 100: **For \(g(100)\):**The function \(g(x)\) is defined as \(g(x) = 4(x - 5)\).To find \(g(100)\), we substitute with 100: **For \(h(100)\):**The function \(h(x)\) is defined as \(h(x) = \frac{x}{4} - 5\).To find \(h(100)\), we substitute with 100: Comparing the values of \(f(100), g(100),\) and \(h(100)\), we see that: **The largest value among \(f(100), g(100),\) and \(h(100)\) is \(f(100) = 395\).**Now, let's calculate for .**For \(f(-100)\):** **For \(g(-100)\):** **For \(h(-100)\):** Comparing the values of \(f(-100), g(-100),\) and \(h(-100)\), we see that: **The largest value among \(f(-100), g(-100),\) and \(h(-100)\) is \(h(-100) = -30\).****In conclusion:**- The largest function value for is **\(f(100) = 395\)**.- The largest function value for is **\(h(-100) = -30\)**.