Question

Helpppppp pleaseeeeee !!!!!!!!! !!!!

Answer 1

Given:

The function is:

$f(x)=6x-3$

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

$f(x)=6x-3$

Step 1: Substitute $f(x)=y$.

$y=6x-3$

Step 2: Interchange x and y.

$x=6y-3$

Step 3: Isolate variable y.

$x+3=6y$

$\dfrac{x+3}{6}=y$

Step 4: Substitute $y=g(x)$.

$\dfrac{x+3}{6}=g(x)$

Therefore, the inverse of the given function is $g(x)=\dfrac{x+3}{6}$ and the graphs of these functions are shown below.