Answer:
Step-by-step explanation:
1). f(x) = 5x - 1
Convert the function into the equation,
y = 5x - 1
Substitute 'x' by 'y' and 'y' by 'x',
x = 5y - 1
Solve the equation for y,
y = [tex]\frac{1}{5}x+\frac{1}{5}[/tex]
So the inverse function is,
[tex]f^{-1}(x)=\frac{1}{5}x+\frac{1}{5}[/tex]
Y-intercept of the function is [tex]\frac{1}{5}[/tex]
Therefore, graph (2) is the answer.
2). f(x) = [tex]\frac{1}{5}x[/tex]
Inverse of this function will be,
[tex]f^{-1}(x)=5x[/tex]
So the line of this function will pass through the origin.
Graph (3) will be the answer.
3). f(x) = x - 5
[tex]f^{-1}(x)=x+5[/tex]
Graph having y-intercept = 5 will be the answer.
Option (4) will be the graph of the given inverse function.
4). f(x) = 7x + 1
Inverse of this function will be,
[tex]f^{-1}x=\frac{1}{7}(x-1)[/tex]
Graph with Y-intercept = [tex]-\frac{1}{7}[/tex] (Negative y-intercept) will be the answer.
Option (1) will be the answer.
