H(x) = 2^x
Solve the equation h^-1 (x) =0.5

The answer is

Step-by-step explanation:

To solve the equation we must first find h-¹(x)

To find h-¹(x) equate h(x) to y

That's

Next interchange the terms

x becomes y and y becomes x

That's

Make y the subject

Take logarithm to base 2 to both sides

That's

But

So we have

Now we can solve the equation

We have

Convert the logarithm into exponential form using the fact that

So we have

But

So we have the final answer as

Hope this helps you

on friday there were 15 birds

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk