If f:z→z is defined by f(x)=x^9-11x^8-2x^7+22x^6+x^4-12x^3+11x^2+x-3∀x∈z , then f(11)=

Correct answer: (B) 8. Given, f(x)=x^9-11x^8-2x^7+22x^6+x^4-12x^3+11x^2+x-3 ∀x∈z Putting 11 in place of x and solving the equation f(11)=11^9-11(11)^8-2(11)^7+22(11)^6 -(11)^4-12(11)^3-11(11)^2+(11)-3 =11-3 =8

Q42 / 160 · AP EAMCET 2021 (20 Aug Shift 1) · Mathematics

If $f : z \to z$ is defined by $f (x) = x^{9} - 11 x^{8} - 2 x^{7} + 22 x^{6} + x^{4} - 12 x^{3} + 11 x^{2} + x - 3 \forall x \in z$ , then $f (11) =$

A
$7$
Correct answer
B
$8$
C
$6$
D
$9$

Solution

Given,

$f (x) = x^{9} - 11 x^{8} - 2 x^{7} + 22 x^{6} + x^{4} - 12 x^{3} + 11 x^{2} + x - 3 \forall x \in z$

Putting $11$ in place of $x$ and solving the equation

$f (11) = 11^{9} - 11 {(11)}^{8} - 2 {(11)}^{7} + 22 {(11)}^{6} - {(11)}^{4} - 12 {(11)}^{3} - 11 {(11)}^{2} + (11) - 3$

$= 11 - 3$

$= 8$

Hence, the correct answer is option: 'B'.

If f:z→z is defined by f(x)=x9-11x8-2x7+22x6+x4-12x3+11x2+x-3∀x∈z , then f(11)=

Solution

Relevant Questions

If $f : z \to z$ is defined by $f (x) = x^{9} - 11 x^{8} - 2 x^{7} + 22 x^{6} + x^{4} - 12 x^{3} + 11 x^{2} + x - 3 \forall x \in z$ , then $f (11) =$