If f(x) = x - 3/x and g(x) = 5x – 4, what is the domain of (f x g) (x)?

a.) {x i x ≠ 0}
b.){x i x ≠ 1/3}
c.){x i x ≠ 4/5}
d.){x i x ≠ 3}

answer:

option a   that is   is correct

explanation:

we have been given two functions and

since, we have to find domain of   (fxg)(x)

first, we will find (f x g)(x) =

after simplification we will get

hence, x should not be equal to zero because if it is so the value of the function becomes not defined which should not happen for the point of domain.

therefore, that is     is correct

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x