Question

PLEASEEE HELP Me asap its really confusing

Answer 1

What they’re looking for is the inverse function. Imagine the f(x) is a y and switch the x and y to get x=4y-12. Try to isolate y again so add 12 to both sides to get x+12=4y. Divide both sides to get 1/4x+3, your final answer

Answer 2

You can find the inverse of an equation by swapping the x and y, then solving for y.

f(x) = 4x - 12   f(x) is the equivalent of y in this case, so change it to a y

y = 4x - 12   Swap the x and y variables

x = 4y - 12

Solve for y

x = 4y - 12   Add 12 to both sides

x + 12 = 4y   Divide both sides by 4

$\frac{x}{4}$ + 3 = y   Switch the sides to make it easier to read

y = $\frac{x}{4}$ + 3   Change y back into f(x) to match what you were given

f(x) = $\frac{x}{4}$ + 3