Given the function f(x) = The quantity of 3x minus 4, divided by 5 , which of the below expressions is correct?

Af−1(x) = The quantity of 5x plus 4, divided by 3.
Bf−1(x) = The quantity of 5x minus 4, divided by 3.
Cf−1(x) = The quantity of negative 3x minus 4, divided by 5.
Df−1(x) = The quantity of 4 minus 3x, divided by 5.

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Anonymous Anonymous · Answer 1 · 2016-10-16T19:08:30-04:00

I hope this helps you

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RenatoMattice RenatoMattice · Answer 2 · 2018-12-28T05:10:12-05:00

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

f(x) = The quantity of 3x minus 4, divided by 5

Mathematically,

\(f(x)=\frac{3x-4}{5}\)

We need to find the inverse of f , so,

Let f(x)=y

\(\frac{3x-4}{5}=y\\\\3x-4=5y\\\\3x=5y+4\\\\x=\frac{5y+4}{3}\)

Now, replace y with x,

\(y=\frac{5x+4}{3}\\\\f^{-1}(x)=\frac{5y+4}{3}\)

So, \(f^{-1}(x)\)= The quantity of 5x plus 4, divided by 3.

Hence, Option 'A' is correct.