Question

Graph the original line and its inverse.
1. f(x)=5x+1
2. f(x)= x+8/4
3. g(x)=2x-3/4
4. h(x)=1/2(x+2)-3

Answer 1

To graph them, first off, you have to find the inverse, right?
I do the first one for you as sample
f(x) = 5x +1
if x =0, then y = 1 . You have (0,1)
if y =0 , then x = -1/5. you have (-1/5, 0)
link those point to get the graph of f(x)

Answer 2

now, find inverse of f(x)
by applying "switch the role" rule, you have
\[x=5f^{-1}(x) +1 \\5f^{-1}(x) = x-1\\f^{-1}(x) = \dfrac{x-1}{5}\]
for this function, when x =0, y = -1/5. you have (0,-1/5)
when y =0, x = 1, you have (1,0)
link them you get the graph of \(f^{-1}\)