For the function f(x) = (3 – 4x)², find f–1. Determine whether f–1 is a function. show work. help. medal rewaarded!

Question

For the function f(x) = (3 – 4x)², find f–1. Determine whether f–1 is a function.  show work. help. medal rewaarded!

anonymous · Answer

f(-1) ? or (f-1) Which do you mean

anonymous · Answer

its f^-1

anonymous · Answer

f(x)^-1?

anonymous · Answer

If so then it would just be f(x)^-1=(3-4x)

because the exponents when multiplying are added. 2+(-1)=1

Unless I have interpreted what the question is asking for wrongly.

anonymous · Answer

No... Switch x and y then solve for y.

y = (3 – 4x)²
x = (3-4y)^2

Solve for y

anonymous · Answer

Oh right that means inverse lol. Yes, make sure it's inversable as a one to one function, switch x and y like ^^^^said and solve for y.

anonymous · Answer

im stumped!:(

anonymous · Answer

x = (3-4y)^2 

y= 1/4 (3-sqrt(x))

so... f^-1 = 1/4 (3-sqrt(x))

anonymous · Answer

@kudrick16