Question

Match each function with the graph of its inverse functions.

Answer 1

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 = $\frac{1}{5}x+\frac{1}{5}$

So the inverse function is,

$f^{-1}(x)=\frac{1}{5}x+\frac{1}{5}$

Y-intercept of the function is $\frac{1}{5}$

Therefore, graph (2) is the answer.

2). f(x) = $\frac{1}{5}x$

Inverse of this function will be,

$f^{-1}(x)=5x$

So the line of this function will pass through the origin.

Graph (3) will be the answer.

3). f(x) = x - 5

$f^{-1}(x)=x+5$

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,

$f^{-1}x=\frac{1}{7}(x-1)$

Graph with Y-intercept = $-\frac{1}{7}$ (Negative y-intercept) will be the answer.

Option (1) will be the answer.