Question

If f(x) = -x-2, what is f¹(x)?

Answer 1

1. f¯¹(x) =9x+18, for the pictorial(image) question
2. what is the send question is it asking derivative or inverse
3. If it is inverse f¯¹(x)=-x-2 as it is
4. Or if it is derivative f'(x)=-1

Explanation:

For the image question f(x)=1/9x-2,f¯¹(x)=?

• f(x)=1/9x-2............given
• y=1/9x-2................swapping f(x) by y to Easily write
• x=1/9y-2................interchanging x and y
• 1/9y-2=x................changeling side of equation
• 9(1/9y-2)=(x)9.......multiplying both sides by 9 to override the fraction on the right side
• y-18=9x
• y=9x-18.................Return to where it were
• f¯¹(x)=9x+18..........swap back f¯¹(x) in the y

For the question f(x)=-x-2,f¯¹(x)=?

• following the ☝️ arrangement
• y=-x-2
• x=-y-2
• -y-2=x
• -y=x+2
• y=-x-2
• f¯¹(x)=-x-2