Question

For a given input value m, the function f utputs a value n to satisfy the following equation. 7m² = 6n - 5 write a formula for f(m) in terms of m. f(m) =

Answer 1

To derive the function f(m), we manipulate the given equation 7m² = 6n - 5 by adding 5 and then dividing by 6, resulting in the formula f(m) = (7m² + 5) / 6.

Step-by-step explanation:

To find the formula for f(m) in terms of m, we start from the given equation 7m² = 6n - 5. Our goal is to solve for n to express f(m), which outputs the value of n for a given input m.

First, we add 5 to both sides of the equation to isolate the terms with n on one side:

7m² + 5 = 6n

Next, we divide both sides of the equation by 6 to solve for n:

n = (7m² + 5) / 6

Now, we have n expressed in terms of m, which is the function f(m) we were looking for:

f(m) = (7m² + 5) / 6