The resulting composite function (f∘f)(x) is x⁴+2x²+2
When a function is written inside another function, it is known as a composite function
Given the function f(x)=x²+1,
(f∘f)(x) = f(f(x))
f(f(x)) = f(x²+1)
This means we will need to replace x with x²+1 in f(x) as shown:
f(x²+1) = (x²+1)²+1
Expand
f(x²+1) = x⁴+2x²+1+1
f(x²+1) = x⁴+2x²+2
Hence the resulting composite function (f∘f)(x) is x⁴+2x²+2
Learn more here: brainly.com/question/3256461
Answer:
<u>A. Vertex: (1, -8); x-intercepts: -1 and 3</u>
Step-by-step explanation:
The vertex is the point of the parabola. Basically, the part where the parabola 'scoops' up.
So the point where it scoops up is (1, -18)
The x-intercepts are the points where the line or shape touches the x-axis. The x-axis is the lines that goes from left to right.
The places where it touches the x-axis is -1 and 3
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Answer:
The simplest form of the function is f(x) = x2. The graph is a parabola often called the basic parabola. Notice that the graph is symmetrical about the y- axis. The y- axis is called the axis of symmetry of this function
