Idon't understand where to start with this one. if the slope of a strictly decreasing function at the point (a, b) is –4, what is the slope of the inverse of the function at the point (b, a)? a. -1/4 b. –4 c. –1 d. the slope cannot be determined without knowing the equation of the function.

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.

step-by-step explanation: