Question

Given g(x) = x-2
f(x) = x^3 + 3x
Find ( g/f) (5)

Answer 1

To find the value of (g/f)(5), substitute 5 into g(x) and f(x), then divide g(5) by f(5) to get the result.

Step-by-step explanation:

To find the value of (g/f)(5), we need to substitute the value 5 into both the g(x) and f(x) functions. First, let's find the value of g(5). We substitute x=5 into g(x)=x-2, giving us g(5)=5-2=3.

Next, we find the value of f(5). We substitute x=5 into f(x)=x^3+3x, giving us f(5)=5^3+3(5)=125+15=140.

Finally, we divide g(5) by f(5) to get (g/f)(5)=3/140.