দেওয়া আছে, $f (x) = x^{2} + 3 x + 1$ এবং $g (x) = 2 x - 3; (f o g)$ এবং $(f o f)$ নির্ণয় কর।

Created: 1 year ago | Updated: 1 year ago

Updated: 1 year ago

দেওয়া আছে, $f (x) = x^{2} + 3 x + 1$ এবং $g (x) = 2 x - 3$

$∴ fog (x) = f (2 x - 3) = {(2 x - 3)}^{2} + 3 (2 x - 3) + 1$

$= 4 x^{2} - 6 x + 1 Ans .$

এবং $fof (x) = f (x^{2} + 3 x + 1)$

$= {(x^{2} + 3 x + 1)}^{2} + 3 (x^{2} + 3 x + 1) + 1$

$= x^{4} + 6 x^{3} + 14 x^{2} + 15 x + 5 Ans .$

1 year ago

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