Question

For the function f(x) = (3 – 4x)², find f^–1. Determine whether f^–1 is a function.

Answer 1

Do you have any idea how to do this problem. It is just some algebra.

Answer 2

f(x) = (3 – 4x)²
Instead of this, you should write
y=(3 – 4x)²
and solve for x, so the result should be x=....

Answer 3

\[x = \frac{3 + or - \sqrt{f(x)}}{4}\]

Answer 4

Determine whether f^–1 is a function.
For this part, you need the function to be 1 to 1. This function is not.
Should I find you a definition?

Answer 5

That is correct.
And from that solution you can see that it is not a function. Do you see why?

Answer 6

Vertical line test

Answer 7

for this you do not need a test.
+ or - cannot happen for a function.
For one x there should be 1 f(x)