Question

If f(x)=a^(X), which of the following statements is true?
a) f(x+y)=f(x)+f(y)
b) f(xy)=f(x)f(y)
c) (f(x))y=f(xy)
d) (f(x))^(y)=f(x^y)

Answer 1

none. it will be f(x+y)=f(x)f(y)

Answer 2

I see you stopped asking questions on coordinate geometry!

Answer 3

lol.^
and that is not a possible answer.

Answer 4

Are you sure it can't be f(x+y)=f(x)+f(y) ?

Answer 5

yep..it wont be tat.

Answer 6

observe tat a^(x+y)=(a^x)(a^y)

Answer 7

it's f(x+y) = f(x)f(y)
example:
2^5 = 2^2 * 2^3 = 32

Answer 8

that's essentially what saubhik said, but with an example

Answer 9

so chizzle any problems?

Answer 10

Yes. None of these answers fit..
Wouldn't (f(x))^(y)=f(x^(y)) work?

Answer 11

no...

Answer 12

however f(x)^y=f(xy) will work.
I think u got some problems in exponents. Please clear them out instead of trying for the options :) Ask me if u hav any prob:)

Answer 13

What do you mean clear them out instead of trying for the options?

Answer 14

I mean that u can urself answer ur doubts if u had ur basics clear:) If u are uncomfortable with exponents ask me freely!

Answer 15

I'm fine with exponents. It's when it comes to all variables, functions, logarithms, and having to plug things in that I get confused.

Answer 16

If u know (2^3)*(2^1)=2^4 then u automatically know a^x*a^y=a^(x+y)
Hint: If u have problems with variables or find difficult to deal with them assign a value to each variable given in the question and the also in the options.

Answer 17

like above u could have assigned x=1 a=2 y=2. etc..
But be careful while dealing with numbers since some numbers cant be used like taking y=1 will prove d correct while its wrong actually. So u must deal with more than 1 numbers.