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The given function is
f(x)= 0.2 x²
Since f(x) will be defined for all real values of x.
So, Domain of f(x) will be ( x| x is a real number.)→This is set builder notation.
Finding the inverse of f(x):
y = 0.2 x²
→ x²= 5 y
→x = → → Inverse of f(x)
Replacing x by y and y by x,we get inverse of the given function
y = → →Domain x ≥ 0, x∈[0,∞]
Graph of function and its inverse are shown below.
