Which is the inverse of the function f(x) = 4x2

 and  

Step-by-step explanation:

The function is given as  

to find inverse, we follow the steps shown below:

1. write "y" in place of "f(x)"

2. interchange "x" and "y"

3. solve for the new "y"

4. replace y with f^-1(x)

Let's do this:

These 2 are the inverse functions.

For this case we must find the inverse of the following function:

We follow the steps below:

Replace f (x) with y:

We exchange variables;

We solve for y:

We divide between 4 on both sides of the equation:

We apply square root to both sides to eliminate the exponent:

We substitute y for :

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

0lz try yourself sorry for not answering