Question

For a given input valuen the function goutgroups a value m to sastisfy the following equation 3m-5n=11 write a formula for g(n) in terms of n g(n)=

Answer 1

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.