Consider the following. Functions Point f(x) = Vx - 1 (2, 1) -1(x) = x+1, x20 (1, 2) (a) Find the domains of fand fo. (Enter your answer using interval notation.) Domain of f Domain of f-1 (b) Find the ranges of fand f. (Enter your answer using interval notation.) Range of f Range of f- 1 (c) Graph fand F-1. 12 10 4 10 12 - X 10 12 12 10 10- - x 10 12 10 12 (d) Show that the slopes of the graphs of fand flare reciprocals at the given points. F'(2) = (f-1]' (1) =4. [0/1 Points] DETAILS PREVIOUS ANSWERS LARCALCET7 3.6.017. Find the derivative of the function. {(x) = arcsin(x - 2) FIX)= V1 - (x-27) X Need Help? Read It Submit Answer 5. [-/1 Points] DETAILS LARCALCET7 3.6.018. Find the derivative of the function. ((t) = arccec(-8t?) F(t) = Need Help? Read It Submit Answer 6. [-/1 Points] DETAILS LARCALCET7 3.6.025. Find the derivative of the function. g(x) = ex arcsin x g'(x) = Need Help? Read It Submit Answer 7. [-/1 Points] DETAILS LARCALCET7 3.6.034.MI. Find the derivative of the function. y = xV 36 - x2 + arcsin(=) Need Help? Read it Master It Submit Answer 8. [-/1 Points] DETAILS LARCALCET7 3.6.040.MI. Find the derivative of the function. y = 36 arcsin = - xv 36 - x2Consider the following. Function Point f(x) = arcsec 4x (a) Find an equation of the tangent line to the graph of the function at the given point. (b) Use a graphing utility to graph the function and its tangent line at the point. Use the tangent feature of a graphing utility to confirm your results. y 10 10- 5 L -10 -5 5 10 -10 -51 -5 O -10- O -10- 101 104 en -10 10 5- -5 -5 -10 O -10- Need Help? Read It Submit Answer -/2 Points] DETAILS LARCALCET7 3.6.059.MI. Find dy/x by implicit differentiation. x= 3 - 4y2 + 1, (-2, 1) Find the slope of the graph at the given point. BY = Need Help? Read It Watch it Master It Submit Answer [-/1 Points] DETAILS LARCALCET7 3.6.063.MI. Use implicit differentiation to find an equation of the tangent line to the graph of the equation at the given point. x2 + x arctan y = y - 1, (- # 1)