Math, asked by BrainlyHelper, 1 year ago

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

Answers

Answered by MarkAsBrainliest
5
\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}
Answered by abhi178
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
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