If f(x)f(x) is an exponential function where f(-0.5)=27f(−0.5)=27 and f(1.5)=21f(1.5)=21, then find the value of f(0.5)f(0.5), to the nearest hundredth.

Given:

f(x) is an exponential function.

To find:

The value of f(0.5), to the nearest hundredth.

Solution:

The general exponential function is

For, x=-0.5,

         ...(i)

For, x=1.5,

         ...(ii)

Divide (ii) by (i).

Taking square root on both sides, we get

Putting b=0.882 in (i), we get

Now, the required function is

Putting x=0.5, we get

Therefore, the value of f(0.5) is 23.81.

i = 2 / - 5

step-by-step explanation:

evaluation of ( 2 - 4 ) ( p + q ) when p = 2 and q = 5 i, by putting values of p and q,