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Q. If $f (x) = 3x^4 - 5x^2 + 9$, then value of $f (x - 1)$ is

Relations and Functions

Solution:

We have,
$f (x) = 3x^4 - 5x^2 + 9$
$\therefore \, \, f (x - 1) = 3 (x - 1)^4 - 5 (x - 1)^2 + 9$
$= 3x^4 - 12x^3 + 13x^2 - 2x + 7 $