Question

ay
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16
If f(x) = log x and g(x)= x, then f[g(a)] + f[g(b)] is
a) f(g(a)+g(b)]
c)g[f(ab)]
b) flo(ab
d) g[f(a) +f(b)]​

Answer 1

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Answer 2

Answer:

2, 3 , 4

$f(g(x)) = log(g(x) ) = log(x) \\ \\so \\ \\ f(g(a)) + f(g(b)) \\ \\ = log(a) + log(b) = log(ab)$

Now check options

1. $log(a + b)$
2. $log(ab)$
3. $f(ab) = log(ab)$
4. $g(f(a) + f(b)) = f(a) + f(b) \\ = log(ab)$