Answer:
g'(x) = 5/2 x +5
Explanation:
g (x) is a line
the y intercept is
-2
the slope is up 2 over 5
the equation of the line y= mx+b
y = 2/5 x-2
to find the inverse exchange x and y and solve for y
x = 2/5 y -2
add 2 to each side
x+2 = 2/5 y -2 +2
x+2 = 2/5 y
multiply by 5/2
5/2 (x+2) = y
distribute
5/2 x + 5 =y
the inverse
g'(x) = 5/2 x +5