Question

find the inverse of:
f(x)=(3x)/(x+4)...
can someone show me step by step???>.<

Answer 1

sure solve
\[x=\frac{3y}{y+4}\] for y. if this is confusing, first solve
\[7=\frac{3y}{y+4}\] and keep track of the steps

Answer 2

Inverse is where you exchange the x and the y.
\[y=(3x)/(x+4)\]
becomes:
\[x = (3y)/(y+4)\]
\[x(y+4)=3y\]
\[xy+4x = 3y\]
\[xy-3y = -4x\]
\[y(x-3)=-4x\]
\[y=(-4x)/(x-3)\]

Answer 3

Note you need to get like terms together to pull out the y to solve for y.

Answer 4

step 1 multiply both sides by
\[y+4\]
\[x(y+4)=3y\] step two multiply out using distributive law
\[xy+4x=3y\] step three put the y's on one side of the equal sign
\[4x=3y-xy\] step four factor out the y
\[4x=(3-x)y\] step five divide to get y by itself
\[\frac{4x}{3-x}=y\] step six write
\[f^{-1}(x)=\frac{4x}{3-x}\]

Answer 5

thanks for helping:),...