MATH SOLVE

3 months ago

Q:
# 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 twof−1(x) = the quantity of five x minus three, over twof−1(x) = five over the quantity of two x plus threef−1(x) = five over the quantity of three minus two x?

Accepted Solution

A:

Original function: f(x)=(2x+3)/5

[change f(x) to y]: y=(2x+3)/5

[swap x and y]: x=(2y+3)/5

[solve again for y]: 5x=2y+3

y=(5x-3)/2

f-1(x) = (5x-3)/2..."The quantity five x minus three, over two

[change f(x) to y]: y=(2x+3)/5

[swap x and y]: x=(2y+3)/5

[solve again for y]: 5x=2y+3

y=(5x-3)/2

f-1(x) = (5x-3)/2..."The quantity five x minus three, over two