Which function below is the inverse of f(x) = The quantity of two x plus three, over five.?

f−1(x) = The quantity of five x plus three, over two

f−1(x) = The quantity of five x minus three, over two

f−1(x) = Five over the quantity of two x plus three

f−1(x) = Five over the quantity of three minus two x

Question

Which function below is the inverse of f(x) = The quantity of two x plus three, over five.?

f−1(x) = The quantity of five x plus three, over two

f−1(x) = The quantity of five x minus three, over two

f−1(x) = Five over the quantity of two x plus three

f−1(x) = Five over the quantity of three minus two x

jenniferjuice · Answer

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zzr0ck3r · Answer

$y=\frac{2x+3}{5}$

can you solve this for $x$?

jenniferjuice · Answer

5-3/2x?

zzr0ck3r · Answer

I dont know what that is....use parentheses

zzr0ck3r · Answer

but it does not look right

jenniferjuice · Answer

y=(5-3)/(2x)

zzr0ck3r · Answer

$y=\frac{2x+3}{5}$

multiply both sides by $5$

$5y=2x+3$

subtract 3

$5y-3=2x$

divide by 2

$\frac{5y-3}{2}=x$

zzr0ck3r · Answer

now "flip" the $x$ and $y$.

$f^{-1}(x)=y=\frac{5x-3}{2}$

zzr0ck3r · Answer

Some people like to "flip" the $x$ and $y$ first, then solve for $y$. But its all the same thing...

jenniferjuice · Answer

so i just solve for x and then flip the x and y ?