Question

For a function f(x), a) if f(7) = 22 then f^-1(22) = b) f^-1(f(c)) =

Answer 1

Step-by-step explanation:

$f(a)=b\to f^{-1}(b)=a\\\\a)\ f(7)=22\to f^{-1}(22)=7\\\\b)\ \text{if}\ f(c)=d\to f^{-1}(f(c))=f^{-1}(d)=c$

Answer 2

Answer:  a) 7

               b) c

Step-by-step explanation:

Inverse is when the x's and y's are swapped.

a)

f(7) = 22 means ..... when x = 7, then y = 22

The inverse is ..... when x = 22, then y = 7

b)

f⁻¹(f(c)) means ...... when x = f(c), then y = c

The reverse of the inverse is ..... when x = c, then y = f(c)