Hi!
So, we need to find the inverse of the function <span>f(x) = 15x - 7.
</span>To start, we must turn the f(x) into a <span>y.
</span>
<span>y = 15x - 7.
</span>
Now, we swap all the x variables for the y variables, and swap all the y variables for the x variables!
<span>x = 15y - 7.
</span>
Now, we simply must work on isolating y. Assuming you know how to isolate a variable, we must do the steps below -
<span>x = 15y - 7.
</span>
Add 7 on both sides.
<span>x + 7 = 15y - 7 + 7.
</span>
We cannot add x and 7, as they are not like terms. So, they will remain like that, while the 7 on the right side of the equation is eliminated.
<em /><span><em>x + 7 = 15y.</em>
</span>
Now we are going to divide both sides by 15, thus leaving y by itself.
<em>= 15y / 15.
</em>
Since we cannot divide the left side of the equation by 15, it will remain as such. With the <em>y </em>variable completely isolated, our final inverse function will be:
<em>
</em>
<em>= </em>
.
Hopefully, this helps! =)