Question

If f : R belongs to R is defined by f(x) = $x^{2} -3x + 2$ , find f(f(x))

Answer 1

SOLUTION

f(x) = x^2 -3x+2

f(x) = x^2 -3x+2=) x^2 -2x-x +2

f(x) = x^2 -3x+2=) x^2 -2x-x +2=) x(x-2) -1(x-2)

=) f(x)= (x-1) (x-2)

f{f(x)} = f{(x-1) (x-2)}

=) {(x-1)(x-2)-1} {(x-1)(x-2)-2}

=) (x^2 -3x+2-1)(x^2 -3x+2-2)

=) (x^2 -3x +1) (x^2-3x)

=) f{(5)}= {5^2 -3(5)+1} (5^2 -3(5)}

=) (25-15+1)(25-25)

=) (11)(10)

=) 11× 10 = 110 [answer]

hope it helps ☺️⬆️

Answer 2

Answer:

I HOPE IT'S HELP YOU

SORRY IF IN MY ANSWER ANY MISTAKE