If f (x) = 3 x squared and g (x) = 4 x cubed + 1, what is the degree of (f circle g) (x)? if f (x) = 3 x squared and g (x) = 4 x cubed + 1, what is the degree of (f circle g) (x)?

options are
2
3
5
6

degree = 6

Step-by-step explanation:

Given , and , we can find the composition of functions: by applying the definition of composition and performing the needed algebra.

Recall that the composition of functions is defined as: , where we use as input for the function f(x) the actual expression in terms of "x" of the function g(x):

Therefore, the degree of this expression is "6" (the highest power at which the variable "x" appears)

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.

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.