Question

If f: R → R is defined by f(x) = x^2 − 3x + 2, find f (f (x) ).

Answer 1

$\bold{Answer :}$

Given that,

f (x) = x² - 3x + 2

Now, f (f (x))

= f (x² - 3x + 2)

= (x² - 3x + 2)² - 3 (x² - 3x + 2) + 2

= x⁴ + 9x² + 4 - 6x³ + 4x² - 12x - 3x² + 9x - 6 + 2

= x⁴ - 6x³ + 10x² - 3x

#$\bold{MarkAsBrainliest}$

Answer 2

$f:\mathbb{R}\rightarrow\mathbb{R}$ is defined by f(x) = x² - 3x + 2.

$\bf{f(x))=f(x^2-3x+2)}\\\\=(x^2-3x+2)^2-3(x^2-3x+2)+2\\\\=x^4+9x^2+4-6x^3-12x+4x^2-3x^2+9x-6+2\\\\=x^4-6x^3+10x^2-3x$

hence, f(f(x)) = x⁴ - 6x³ + 10x² - 3x