If-f-x-2-2x-log-3-x-3-x-5-f-1-x-4-x-lt-5-f-0-

Question Number 204610 by mnjuly1970 last updated on 23/Feb/24

I f, f (x) = {\begin{cases} 2^{2 x} - {l o g}_{3} (x + 3); x ⩾ 5 \\ f (1 + x) - 4; x < 5 \end{cases}

\Rightarrow f (0) = ?

Answered by Rasheed.Sindhi last updated on 23/Feb/24

f (0) = f (1) - 4

= f (2) - 8

= f (3) - 12

= f (4) - 16

= f (5) - 20

= 2^{2 (5)} - \log_{3} (5 + 3) - 20

= 1004 - \log_{3} (8)