Question

if my answer is this: x-7/-4 why does my professor want me to write it like this: -1/4x+74!!!!!

Answer 1

That doesn't look right... post more info. Those two expressions aren't even remotely equivalent.

Answer 2

it is: For each of the following functions, write an equation
for the inverse function y = f ^−1(x) .
f (x) = −4x + 7

Answer 3

First change it to

y = −4x + 7

then rearrange for x=...

Answer 4

y-7=-4x/-4
= y-7/-4=x
= x-7/-4=y

Answer 5

that doesn't equal -1/4x+7/4 ?

Answer 6

(y-7)/-4=x

^^^Make sure you use brackets. And it does, you originally wrote 74, not 74.
\[\large \frac{ x-7 }{ -4 } = \frac{ x }{ -4 } - \frac{ 7 }{ -4 }\]

Answer 7

*not 7/4

Answer 8

with the negative 4 into the seven fip the minus sign to a plus then you have positive 7/4?

Answer 9

Yep and x/-4 is the same as (-1/4)x

Answer 10

she just wants it written like that because it looks better then?

Answer 11

=)

Answer 12

That's the slope-intercept form. And looks neater.