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
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Answer:
Step-by-step explanation:
You know that Sara has 8 ounces of vanilla yogurt in her cup and her father’s yogurt weighs 11 ounces. Then, the total ounces of frozen yogurt they buy altogether is:
The next step is to make the conversion from ounces to pounds.
You need to remember that:
Therefore:
This result expressed as a mixed number, is:
They both have the same value.
Step-by-step explanation:
4 quarters= 1 dollar
So, 8 quarters would be 2 dollars.
I also think its 4 but im not sure