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)
Answer
4.4
(302 Votes)
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 **\(h(-100) = -30\)**.