Question

the domain of a function f given by f(x) = x² + 2x + 1/ x²- x- 6​

Answer 1

Answer:

perform the following division and verify the results??????????a) (9x³y³ - 14 xy + 20) ÷ (xy + 5)

b) (x²+ 17x - 9) ÷ (x + 3)

c)(3p²+ 6p + 18) ÷ (p - 6)

d)(a² + 2ab + b² ) ÷ (a + b) perform the following division and verify the results??????????a) (9x³y³ - 14 xy + 20) ÷ (xy + 5)

b) (x²+ 17x - 9) ÷ (x + 3)

c)(3p²+ 6p + 18) ÷ (p - 6)

d)(a² + 2ab + b² ) ÷ (a + b) perform the following division and verify the results??????????a) (9x³y³ - 14 xy + 20) ÷ (xy + 5)

b) (x²+ 17x - 9) ÷ (x + 3)

c)(3p²+ 6p + 18) ÷ (p - 6)

d)(a² + 2ab + b² ) ÷ (a + b)

e) (x² + 15x + 56) ÷ (x + 8) perform the following division and verify the results??????????a) (9x³y³ - 14 xy + 20) ÷ (xy + 5)

b) (x²+ 17x - 9) ÷ (x + 3)

c)(3p²+ 6p + 18) ÷ (p - 6)

d)(a² + 2ab + b² ) ÷ (a + b) perform the following division and verify the results??????????a) (9x³y³ - 14 xy + 20) ÷ (xy + 5)

b) (x²+ 17x - 9) ÷ (x + 3)

c)(3p²+ 6p + 18) ÷ (p - 6)

d)(a² + 2ab + b² ) ÷ (a + b)

e) (x² + 15x + 56) ÷ (x + 8)

f) (a² - 23a - 50) ÷ (a - 25)

e) (x² + 15x + 56) ÷ (x + 8)

f) (a² - 23a - 50) ÷ (a - 25)

f) (a² - 23a - 50) ÷ (a - 25)

e) (x² + 15x + 56) ÷ (x + 8)

f) (a² - 23a - 50) ÷ (a - 25)

e) (x² + 15x + 56) ÷ (x + 8)

f) (a² - 23a - 50) ÷ (a - 25)

Answer 2

SOLUTION ⚜️

$given \: f(x) = \frac{ {x}^{2} + 2x + 1 }{ {x}^{2} - 8x + 12}$

Here, f(x) is an rational function of x as$\frac{ {x}^{2} + 2x + 1 }{ {x}^{2} - 8x + 12}$is rational expression.

$\therefore f(x) \: assumes \: real \: values \: x \: espects \\ for \: the \: values \: of \: x \: for \: which \: {x}^{2} - 8x + 12 = 0$

$i.e.,(x - 6)(x - 2) = 0 \rightarrow x = 6,2 \\ \therefore domain \: of \: f(x)$

= R-{2,6}