Question

Find the input (x) of the function y = 1/4x+ 12 if the output
(y) is 6

Answer 1

y=1/4x+12

6=1/4x+12

1/4x=6-12

1/4x=-6

0.25x=-6

x=-6÷0.25

x=-24

Explanation:

first put the given value into the equation

inverse rule:

+ve changes to -ve(vice versa)

÷changes to ÷(vice versa)

Answer 2

x = -24

Explanation:

y = 1/4x+12 (Substitute 6 for y)

6 = 1/4x+12 (Subtract 12 from both sides)

6-12= -6 so its now -6 = 1/4x and since its a fraction you want to multiply both sides by the reciprocal

4*-6 = 1/4x*4 (1/4*4=1 which is 1x or x)

-24 = x