Question

Let f(x)=10x-10 find the value of (f o f ^-1)(-10)

Answer 1

Answer:

Step-by-step explanation:

let y=f(x)

y=10x-10

flip x and y

x=10y-10

10 y=x+10

$y=\frac{1}{10}x+1\\f^{-1}(x)=\frac{1}{10}x+1\\(fof^{-1}{x})=f(f^{-1}(x))=f(\frac{1}{10} x+1)=10(\frac{1}{10} x+1)-10=x+10-10=x\\(fof^{-1})(-10)=-10$