Given the functions f(x)=8(x+5)and g(x)=2x^3
which of the following statements is true?
f(3)>g(3)
g(3)>f(3)
f(3)=g(3)
To determine which of the statements is true, we need to evaluate f(3) and g(3).
For f(3), we substitute x=3 into the function f(x):
f(3) = 8(3+5)
f(3) = 8(8)
f(3) = 64
For g(3), we substitute x=3 into the function g(x):
g(3) = 2(3^3)
g(3) = 2(27)
g(3) = 54
Now, we can compare the values:
f(3) = 64
g(3) = 54
Since 64 is greater than 54, we can conclude that f(3) > g(3).
Therefore, the statement "f(3) > g(3)" is true.
To determine whether f(3) > g(3), g(3) > f(3), or f(3) = g(3), we need to substitute 3 into both functions and compare the results.
For f(x), substitute x = 3:
f(3) = 8(3+5) = 8(8) = 64.
For g(x), substitute x = 3:
g(3) = 2(3^3) = 2(27) = 54.
Comparing the results:
f(3) = 64, and g(3) = 54.
Therefore, f(3) > g(3), so the statement f(3) > g(3) is true.
To determine which statement is true, we need to evaluate both functions at x=3 and compare the results.
First, let's evaluate f(x) at x=3:
f(3) = 8(3 + 5) = 8(8) = 64
Now, let's evaluate g(x) at x=3:
g(3) = 2(3^3) = 2(27) = 54
Comparing the results, we can see that f(3) = 64 and g(3) = 54.
So, the statement f(3) > g(3) is true because 64 is greater than 54.