If the probability of the event A is P(A) and the probability of the event B is P(B), then the probability P(A and B) is P(A)*P(B).
Since both P(A) and P(B) are equal to 1/2, then:
For every f(x) change the x with the given value.
a.
x³-5x²+6x-4 ..........change the x with 2
(2)³-5(2)²+6(2)-4
8-20+12-4
-4
b.
4x³+3x²+x+2 .... .same here change x to 1
4(1)³+3(1)²+(1)+2
4+3+1+2
10
c.
2x^4-x³+3x²-1 ...........change x as -1
2-(-1)³+3(-1)²-1
2+1+3-1
5
d.
2x³-6x-5 ................change x with -3
2(-3)³-6(-3)-5
2(-27)+18-5
-41
Arcsin is the inverse function of sine, it switches the sine function (reverses it)
cosec is the reciprocal of sine