Final answer:
The value of c in the function g(x) = c(6 ÷ x) when g(x) = 6 at x = 5 is 5.
Step-by-step explanation:
The function g is defined by g(x) = c(6 ÷ x), where c is a constant. We are given the value of g(x) at x = 5 as 6. To find the value of c, we can substitute the given values into the equation and solve for c.
Given: g(x) = 6, x = 5
Substituting the values into the equation: 6 = c(6 ÷ 5)
To solve for c, we can multiply both sides of the equation by 5/6 to isolate c: c = 6 * (5/6)
Simplifying: c = 5