Question

For a given input value nnn, the function ggg outputs a value mmm to satisfy the following equation.

3m-5n=113m−5n=113, m, minus, 5, n, equals, 11

Write a formula for g(n)g(n)g, left parenthesis, n, right parenthesis in terms of nnn.

g(n)=g(n)=g, left parenthesis, n, right parenthesis, equals

Answer 1

h(n)=−2n−13

Explanation:

Answer 2

For a given input value n, the function g outputs a value m to satisfy the following equation.

3m-5n=11

Write a formula for g(n), in terms of n.

g(n)=

Answer:

3m-5n=11

the function g outputs a value m. It means we need to solve for m in terms of n

solve the given equation for m

3m-5n=11

Inverse of -5n is +5n so we add 5n on both sides

3m-5n + 5n=11 + 5n

3m = 11 + 5n

Divide by 3 on both sides

m =
`(11+5n)/(3)`

The function g outputs the value m

So g(n) =
`(11+5n)/(3)`