Question

Plz help me i need it

Answer 1

Answer:
`a)\quad f^(-1)(x)=\sqrt[3]{(x+5)/(3)}`

Explanation:

Inverse is when you swap the x's and y's and solve for y. Note: f(x) is y

`y=3x^3-5\\\\\text{Swap the x's and y's:}\\x=3y^3-5\\\\\text{Add 5 to both sides:}\\x+5=3y^3\\\\\text{Divide both sides by 3:}\\(x+5)/(3)=y^3\\\\\\\text{Take cubed root of both sides:}\\\sqrt[3]{(x+5)/(3)}=y`