Answer:
To find a formula for the function g(n) in terms of n, we need to solve the equation 3m - 5n = 11 for m.
Step 1: Start with the equation 3m - 5n = 11.
Step 2: Add 5n to both sides of the equation to isolate the term with m:
3m - 5n + 5n = 11 + 5n
This simplifies to:
3m = 11 + 5n
Step 3: Divide both sides of the equation by 3 to solve for m:
3m/3 = (11 + 5n)/3
This simplifies to:
m = (11 + 5n)/3
Therefore, the formula for g(n) in terms of n is:
g(n) = (11 + 5n)/3
In this formula, g(n) represents the output value (m) of the function g for a given input value (n). To find the output value, substitute the given input value into the formula. For example, if n = 2, we can find g(2) as follows:
g(2) = (11 + 5(2))/3
g(2) = (11 + 10)/3
g(2) = 21/3
g(2) = 7
So, when n = 2, the output value of the function g is 7.