Question

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

Answer 1

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)

Answer 2

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

Answer 3

yes, that's what I meant

Answer 4

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

Answer 5

thank U very much!

Answer 6

np