Marcello's Pizza charges a base price of $12 for a large pizza plus $4 for each

Algebra
Tutor: None Selected Time limit: 1 Day

Marcello's Pizza charges a base price of $12 for a large pizza plus $4 for each topping. Thus, if you order a large pizza with x toppings, the price of your pizza is given by the function 
f(x) = 12 + 4x.
 Find 
f−1.
Jul 2nd, 2015

Thank you for the opportunity to help you with your question!

Your equation is: 

f(x) = 12 + 4x

Solve for x. 

Subtract 12 to both sides of this equation to get: 

f(x) -12 = 4x 

Divide both sides of this equation by 4 to get: 

(f(x) -12)/4 = x 

Since, in general, a = b implies that b = a, this equation becomes: 

x = (f(x) - 12)/4

Replace x with f(x) and replace f(x) with x to get: 

f(x) = (x-12)/4

That's your inverse function. 


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 2nd, 2015

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