Question

Neveah has created the function ( y = -x + 5 ) to represent the growth of her hair. Find the inverse function ( x = f(y) ) of the function ( y = f(x) = -x + 5 ). Show any work/justification.

a) ( x = y + 5 )
b) ( x = 5 - y )
c) ( x = -y + 5 )
d) ( x = 5y )

Answer 1

To find the inverse function of y = -x + 5, we need to interchange the x and y variables, solve for y, and choose the correct option.

Step-by-step explanation:

To find the inverse function of y = -x + 5, we need to interchange the x and y variables and solve for y. Let's start by rewriting the original function as x = -y + 5. Then, we can isolate y by subtracting 5 from both sides of the equation:

x - 5 = -y

Finally, we need to multiply both sides of the equation by -1 to solve for y:

y = -x + 5

Therefore, the inverse function of y = -x + 5 is x = y + 5. So, the correct option is (a) (x = y + 5).