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3 years ago

If F (7) 22, Then F(f-1(22))

Mathematics

1 answer:

jeka57 [31]3 years ago

6 0

Answer:

$\boxed{\boxed{f(f^{-1}(22))=22}}$

Step-by-step explanation:

$\text{If we have}\ f(x)\ \text{and}\ f^{-1}(x),\ \text{then}\\\\\text{if}\ f(a)=b,\ \text{then}\ f^{-1}(b)=a.\\\\\text{Therefore, if}\ f(7)=22,\ \text{then}\ f^{-1}(22)=7.\\\\f(\underbrace{f^{-1}(22)}_{=7})=f(7)=22$

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