Question

Hello :)

Answer 1

Answer:

B

Step-by-step explanation:

• Rule => f(x)=a , f⁻¹(a)=x

So ; f⁻¹(5-x)=x

plug in ''-x+5'' for x

f⁻¹(5-x)=x

f⁻¹(5-(-x + 5))=-x + 5

f⁻¹(5 +x -5 )= -x  + 5

f⁻¹(x)= 5 - x

Hope this helps ^-^

Answer 2

Answer:

B) 5 - x

Step-by-step explanation:

$\text{We have}\ f(x)=5-x\to y=5-x\\\\\text{exchange x to y:}\ x=5-y\\\\\text{Solve for y:}\\\\5-y=x\qquad\text{subtract 5 from both sides}\\\\-y=x-5\qquad\text{change the signs}\\\\y=-x+5\\\\y=5+(-x)\\\\y=5-x\to f^{-1}(x)=5-x$