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:
7..the way you worded the options was confusing
Answer:
the price paid is £288,000
Step-by-step explanation:
The computation of the price paid is shown below:
Sale of the another house is £283,392
Since the another house would be 1.6% less than the price paid
So, the price paid would be
= £283,392 × 100 ÷ (100 - 1.6%)
= £283,392 × 100 ÷ 98.4
= £288,000
Hence, the price paid is £288,000
