Question

Can somebody just check me? For the function f(x) = (3 – 4x)², find f–1. Determine whether f–1 is a function. Is this right? what i have:
f(x)=(3-4x)^2
f(1)=(3-4x1)^2
=(3-4)^2
=(-1)^2
=1
f is a function

Answer 1

I hope this helps you



y=(3-4x)^2


square root of y=3-4x


4x=3 - square square root of y


x= 3 - square root of y/4


f^-1 (x)= 3 - square root of x /4 inverse f (x)



x= -1


f (-1)=(3-4. (-1))^2


f (-1)=(3+4)^2


f (-1)=7^2


f (-1)=49