Which function below is the inverse of f(x) = The quantity of four x minus three, over two.?
f−1(x) = two over the quantity of four x minus three

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

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

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

Question

Which function below is the inverse of f(x) = The quantity of four x minus three, over two.?
 f−1(x) = two over the quantity of four x minus three

 f−1(x) = two over the quantity of three minus four x

 f−1(x) = The quantity of two x minus three, over four

 f−1(x) = The quantity of two x plus three, over four

anonymous · Answer

f-1(x)=2x+3/4

ranga · Answer

$$f(x) = \frac{ 4x - 3 }{ 2 }\quad f^{-1}(x) = ?$$

ranga · Answer

Write it as:$$y = \frac{ 4x - 3 }{ 2 }$$

Replace x with y and y with x and then solve for y.

ranga · Answer

That will be your inverse function.

ranga · Answer

y = (4x - 3) / 2
interchange x and y
x = (4y - 3) / 2
multiply both sides by 2
2x = 4y - 3
add 3 to both sides
2x + 3 = 4y
divide both sides by 4
(2x + 3) / 4 = y
So the inverse function = (2x + 3) / 4