Answered

IDNLearn.com helps you find the answers you need quickly and efficiently. Discover reliable and timely information on any topic from our network of knowledgeable professionals.

if f(x)=15x-7 then f^-1(x)​

Sagot :

GATPlantation2010idn
Hi!

So, we need to find the inverse of the function f(x) = 15x - 7.

To start, we must turn the f(x) into a y.

y = 15x - 7.

Now, we swap all the x variables for the y variables, and swap all the y variables for the x variables!

x = 15y - 7.

Now, we simply must work on isolating y. Assuming you know how to isolate a variable, we must do the steps below -

x = 15y - 7.

Add 7 on both sides.

x + 7 = 15y - 7 + 7.

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.

x + 7 = 15y.

Now we are going to divide both sides by 15, thus leaving y by itself.

= 15y / 15.

Since we cannot divide the left side of the equation by 15, it will remain as such. With the y variable completely isolated, our final inverse function will be:

= .

Hopefully, this helps! =)
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com has the solutions you’re looking for. Thanks for visiting, and see you next time for more reliable information.