Question

f(x)f(y)=f(x+y) and f(2)=9 then f(5)=q​

Answer 1

Answer:

Answer:

The value of q is 243.

Given:

The equation is,

f(x+y)=f(x).f(y),

f(2)=9 and f(5)=q

To find:

The value of q=?

Solution:

The equation is,

f(x+y)=f(x).f(y)

The condition is,

f(x)=a^x

From the above,

f(2)=9

→f(2)=a²

→a²=9

→a²=3²

→a=3

The value of a is 3.

Now, f(5)=a⁵

→q=a⁵

→q=3⁵

→q=243

So, The value of q is 243..

Step-by-step explanation:

Hope it helps you.......