find formula for the inverse of function
f(x)=sqrt{10-3x}

Question

find formula for the inverse of function 
f(x)=sqrt{10-3x}

amorfide · Answer

let y=f(x)
y=sqrt(10-3x)
you want to make x the subject

square both sides
y²=10-3x
3x=10-y²
x=(10-y²)/3

now replace y with x
f^-1(x)=(10-x²)/3

anonymous · Answer

$$f(x)=y=\sqrt{10-3x}$$To find the inverse first we need to exchange the variable's place.$$x=\sqrt{10-3y}$$Now we need to solve for y$$x^{2}=10-3y ...squaring... both ..side$$$$3y=10-x^{2}$$$$f^{-1}(x)=y=\frac{ 10-x^{2} }{ 3 }$$

anonymous · Answer

the Answere is f-1(x)=-1/3x2+10/3

anonymous · Answer

You have a big problem in algebra.
What is the d/c b/n we wright above and what u just posted?

amorfide · Answer

our answers are the same as your answer mahdi

anonymous · Answer

$$f^{-1} (x)=-\frac{ 1 }{ 3} x^{2}+\frac{ 10 }{ 3 }$$

amorfide · Answer

that is the same as our answer except you made it 2 fractions, we left it as one