Answer:
a.
Step-by-step explanation:
We are given that
Slope of strictly decreasing function at the point (a,b) is -4.
We have to find the slope of the inverse of the function at the point (b,a).
Suppose , we have a function
Slope of function f(x) at (x,y)=-4
Replace x by y and y by x.
Now, substitute
Differentiate w.r.t x
Using rule ()
Slope of inverse of function f(x) at (y,x)=
Hence, the slope of inverse of the function at the point (b,a)is .
Option a is true.