Answer:
1/4
Step-by-step explanation:
Slope = (change in the y-values)/(change in the x-values)
Slope = (4 - 2)/(1 - (-7) )
Slope = (4 - 2)/(1 + 7)
Slope = 2/8
Slope = 1/4
Step-by-step explanation:
the derivative of an inverse function is
1/f'(f^-1(x))
f'(x) = -6x²
f^-1(7) is solving the original function equation for x under the knowledge that y = 7
7 = 5 - 2x³
2 = -2x³
-1 = x³
=>
x = -1
f'(-1) = -6×(-1)² = -6×1 = -6
so,
(f^-1)'(7) = -1/6
6x-1/5=3
add 1/5 to both sides
6x=1/5+3
convert 3 to fraction with 5 as denomenatory
3/1 times 5/5=15/5
6x=15/5+1/5
6x=16/5
divide both sides by 6
x=16/5 times 1/6
x=16/30
x=8/15
