Oxygenn
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hello :)


f : R ⇒ R

f( x ) = 5 - x

if, f⁻¹ Which of the following?

A) 5 + x
B) 5 - x
C) -5 - x
D) 5x
E) -x/5

answer -- B

Respuesta :

gmany

Answer:

B) 5 - x

Step-by-step explanation:

[tex]\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[/tex]

merue

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 ^-^

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