For a given input value x, the function f outputs a value y to satisfy the following equation. y+6=5(x-4). Write a formula for f(x) in terms of x.

Answer 1

Given: (y+6) = 5(x-4), to solve for f(x) in terms of x, means to rewrite the given equation in the standard equation form of y (which is f(x)) = x and some constant, in other words we need to solve the equation for y:

(y+6) = 5(x-4)

(y+6) = 5x - 5(4)

(y+6) = 5x - 20

y = 5x - 20 - 6

y = 5x -26

Final answer: y = 5x -26