Question

Help with solving equations

Answer 1

@ganeshie8

Answer 2

So what we have is

\[\large y = \frac{2}{5x + 3}\]

And we want the inverse of this function \(\large f^{-1}(x)\)

Answer 3

So what we do, is switch the position of the 'x' and the 'y'....and then use algebra to solve for 'y' again

Answer 4

So \[\large x = \frac{2}{5y + 3}\]

how would you solve that for 'y' again?

Answer 5

y=2/5 +3 /x?

Answer 6

or
would you subtract x

Answer 7

so y= 2/5 + 3 -x?

Answer 8

No we can just do simple multiplication here

Multiply both sides by 5y + 3

\[\large x(5y + 3) = 2\]

Divide both sides by 'x'

\[\large 5y + 3 = \frac{2}{x}\]

Now subtract 3 from both sides

\[\large 5y = \frac{2}{x} - 3\]

Lets simplify this a bit first...we need a common denominator (which would be 'x')

\[\large 5y = \frac{2}{x} - \frac{3x}{x}\]

can put that over the common denominator

\[\large 5y = \frac{2 - 3x}{x}\]

And finally divide everything by 5
\[\large y = \frac{2- 3x}{5x}\]

Answer 9

can we do another one please t=t just to make sure it made sense