Question

Find the inverse of each function.

f(x) = -x + 3

Answer 1

@jim_thompson5910

Answer 2

how would you solve
\[-x+3=5\]

Answer 3

subtract 3 from both sides

Answer 4

I got the same function for the inverse and I am not for sure if that's right

Answer 5

you replace f(x) with y to get y = -x + 3

then you swap x and y: x = -y + 3

and afterward solve for y to get the inverse

Answer 6

x = -y + 3

x-3 = -y

-y = x-3

y = -x+3

so the inverse is the same function f(x) = -x+3

Answer 7

is that possible

Answer 8

yes because this function is completely perpendicular to y = x, so it reflects on itself when you reflect it over y = x