3 years ago

IS THIS CORRECT PLEASE ONLY COMMENT IF YOU K OW ITS RIGHT THX

Mathematics

1 answer:

AnnyKZ [126]3 years ago

3 0

Your answer is correct because the lines don’t intersect.

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Find the inverse of f(x)

FinnZ [79.3K]

Answer:

$\huge\boxed{A.\ f^{-1}(x)=\dfrac{x-3}{5}}$

Step-by-step explanation:

$f(x)=5x+3\to y=5x+3\\\\\text{exchange}\ x\ \text{with}\ y\\\\5y+3=x\\\\\text{solve for}\ y\\\\5y+3=x\qquad|\text{subtract 3 from both sides}\\\\5y+3-3=x-3\\\\5y=x-3\qquad|\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup y}{5\!\!\!\!\diagup}=\dfrac{x-3}{5}\\\\y=\dfrac{x-3}{5}\to f^{-1}(x)=\dfrac{x-3}{5}$