Write the inverse of h(x) = e 2x
h -1(x) =

log e2 x
2log ex
½log ex

C

Step-by-step explanation:

So we have the function:

To find the inverse, switch h(x) and x, change h(x) to h⁻¹(x), and solve for it. Thus: "

So, take the natural log (log to base e) of both sides:

The right side will cancel:

Divide both sides by 2:

And we're done!

Our answer is C

Note:

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.