Final answer:
To find the value of (g/f)(10), substitute 10 for t in the given functions g(t) and f(t), and divide the result of g(10) by the result of f(10).
Step-by-step explanation:
To find the value of (g/f)(10), first substitute 10 for t in the function g(t) = t - 1:
g(10) = 10 - 1 = 9
Next, substitute 10 for t in the function f(t) = t^2 - 5:
f(10) = 10^2 - 5 = 100 - 5 = 95
Finally, divide the value of g(10) by the value of f(10):
(g/f)(10) = 9/95
Therefore, the value of (g/f)(10) is 9/95.
The value of (g/f)(10) is found by substituting t with 10 in both functions g(t) and f(t) individually and then dividing the result of g(10) by the result of f(10). Firstly, to find g(10) we substitute t with 10 in the function g(t) = t - 1, which gives us g(10) = 10 - 1 = 9. Subsequently, we find f(10) by substituting t with 10 in the function f(t) = t^2 - 5, resulting in f(10) = 10^2 - 5 = 100 - 5 = 95. Finally, to find (g/f)(10), we divide g(10) by f(10): (g/f)(10) = g(10) / f(10) = 9/95. This fraction can be simplified if necessary, but here we report the answer as a fraction.