Question #327260

Find the inverse of the given function. Upload solution in next number.

Let f:R→R , f(x)= 4x + 3

a. f-1 (y)= 

b. f-1 (35) = 

c. f-1 (-9) = 


1
Expert's answer
2022-04-12T09:57:02-0400
  • Letf1(x)=yx=f(y)x=4y+3x3=4yy=x34Let f ^{ −1} (x)=y ⇒ x=f(y) ⇒ x=4y+3 ⇒ x−3=4y ⇒ y= \frac{ x−3 ​}{4}

b.f1(35)=3534=8f^{-1}(35)=\frac{35-3}{4}=8

c. f1(9)=934=3f^{-1}(-9)=\frac{-9-3}{4}=-3



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