Question

If f(x+y)=f(x)f(y) and f(5)=32, then f(7)=

Answer 1

Step-by-step explanation:

ANSWER

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

Put x=1,y=1

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

⇒f(2)=f(1)f(1)

⇒f(3)=f(2)f(1)=f(1)

3

⇒f(4)=f(3)f(1)=f(1)

4

⇒f(5)=f(4)f(1)=f(1)

5

Givenf(5)=32

∴f(1)=2

And f(2)=4

Now,

f(7)=f(5)f(2)=32×4=128