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Harman [31]
3 years ago
12

For the function f(x) = x2 ­ -12, find (f o f­-1)(4)

Mathematics
2 answers:
lara [203]3 years ago
5 0
I hope this helps you

horsena [70]3 years ago
5 0

Answer: f(f^{-1})(4)=4.


Step-by-step explanation:

Given, f(x)=x^{2} -12,

which implies

f^{-1}(x^{2}-12)=x.

We have,

x^{2}-12=4\\\Rightarrow x^{2}=16\\\Rightarrow x=4,-4.

\therefore f^{-1}(4)=4,-4.

f(f^{-1})(4)=f(4)\\\intertext\textup{or}\\f(f^{-1})(4)=f(-4).

Also,

f(4)=f(-4)=4,

\therefore f(f^{-1})(4)=4.

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