## anonymous 5 years ago determine whether f(x)=5x-4 and g(x)=x+4/5 are inverses

1. anonymous

to take the inverse of a function put it in the form of y=$y = 5x - 4$ now, invert y to x and x to y:$x = 5y-4$ solve for y and you'll find the inverse function:$5y = x + 4$$y = {x \over 5} + {4 \over 5}$ The inverse is different from g(x)

2. anonymous

actually did you mean?$g(x) = {x + 4 \over 5}$

3. anonymous

yes, that's what I meant

4. anonymous

then yes they are the same$y = {x \over5} + {4\over5} = {x + 4 \over 5 }$

5. anonymous

thank U very much!

6. anonymous

np