Question

inverses

Answer 1

The function \(F\) "sends" an \(x\) on a \(y\). To find the inverse means that you want to find how to send the \(y\) back to its corresponding \(x\).

It only requires you to write \(y = \frac{2x}{7}+4\) and solve for \(x\). You will obtain an expression like \(x=h(y)\). That's what you are looking for. "which \(x\) given this \(y\)".

The beggining is:
\(y = \frac{2x}7 + 4 \iff y-4 = \frac{2x}7\iff \dotsb\)
Two steps left.

Answer 2

would we multiply 7?

Answer 3

@reemii

Answer 4

Yes

Answer 5

\(7(y-4) = 2x\) is where you are now.

Answer 6

7y-28=2x?

Answer 7

That's correct but you don't need to do that, the expressions in the options don't look like that, they all look like \(2(\dotsb)/7\) or \(7(\dotsb)/2\).
Just get the "2" on the other side and you will be done.

Answer 8

ohhh so its A? @reemii

Answer 9

Yes.
the expression you find is in the variable \(y\) but that's not important. The expression could be in any variable. \(\frac{7(\star - 4)}{2}\).

Answer 10

thank you so much! ☺

Answer 11

you're welcome