Can anyone help me and explain

Question

asked Aug 5, 2022 111k views

2 Answers

Paulo Sousa · Answer 1 · 2022-08-08T19:46:30+0000

Answer:

To find the inverse, switch the y(F(C)) and the x(C) variables.

So this function:

$y=(9)/(5)x+32 \\$

Will become this function:

$x=(9)/(5)y+32 \\$

You will then solve for y:

$x=(9)/(5)y+32 \\x-32=(9)/(5)y\\5(x-32)=5((9)/(5)y)\\5x-160=9y\\y=(5x-160)/(9)\\y=(5x)/(9)-(160)/(9)$

Substitute in the variables of this problem:

C(F)=(5C)/(9)-(160)/(9)