Answer:
2/3
Step-by-step explanation:
so the inverse takes us from the range to the domain... they tell us that f(4) goes to 5.. so if we were to take the inverse f(5) it takes us back to 4... and the slope at 4 or the derivative was 2/3 so that's what we get for f
'(5) :)
For the sake of showing work I will replace the empty space with an x like so...
To find out what x is you must cross multiply (aka butterfly)
***Image of this step is attached below
9*x = 10*90
9x = 900
Next divide 9 to both sides to finish isolating x. Since 9 is being multiplied by x, division (the opposite of multiplication) will cancel 9 out (in this case it will make 9 one) from the left side and bring it over to the right side.
9x ÷ 9 = 900 ÷ 9
1x = 100
x = 100
To make these fractions equivalent the empty spot must be 100
Hope this helped!
~Just a girl in love with Shawn Mendes
