Consider the function. f(x) = x (a) Find the inverse function of f. p-1(x) = 5V (b) Graph fand f-l on the same set of coordinate axes.
For the function f(x)=−3−5x^3 find the derivative of the inverse function f-1 at the point x=37. (f−1)'(37)=
5. Find the inverse of the one-to-one function. f(x) = 2 - 5x, f-'(x) = | a. ; b = c. 5 - 2x d.
5x +7 The function f(x) = is one-to-one. 4x-5 (a) Find its inverse and check your answer. (b) Find the domain and the range of f and f-1.
17, Graph x) = 7x-3 and its inverse on the same set of axes 18. 18. Graph g(x)=-3x + 4 and its inverse on the same set of axes. 4 and its inverse on the same set of 19. Graph f(x) 2x+1 axes. 20. Graph g(x) -2 and its inverse on the same set of аxes.
11. Given the function f(x) = 2sin(x). (11 pts total) NG -21 -5 -4 1 -6 -3 -2 -1 Mće. @p1 (4 pts) a. Graph fon the axes above. How should the domain be restricted so that f is one-to-one? Write your answer using set-builder notation. (4 pts) b. Algebraically find the inverse function, f-1(x). Sketch the graph of f-1 on the axes above. Remember that the graphs off and f-1 are symmetric about the 45° line! (3 pts) C....
please help me with these. Thanks. 4. Use implicit differentiation to find an equation of the tangent line to the graph y2 + In xy = 2 of at the point (e, 1) )(-5) using formula for the derivative of the inverse 5. Consider f(x) = x + 3x - 1. Find (f function. 6. Consider the following function and its inverse f(x) = x-4 f(x) = x2 +4, point (5,1) point (1,5) x20 a) Graph both functions on the...
2 2. For function h(x) - a. Find (-1) b. Find the domain of h(x), write your answer in set-builder notation. 2 c. For function (x) h'(x) and state the domain and range of h'(x). 3. a. What is the relationship between the graph of a function and the graph of its inverse? b. Graph the function (x) = V1 – 3 and its inverse on the same coordinate system. Determine at least 3 points on each graph. Label each...
Let f be the one-to-one function given below. f(2) 4.-6 5x + 3 (a) Find the inverse function of f(i.e., f-'(x).) (b) Compute f (3) f(3) =
10. Find the inverse and graph the function and its inverse on the same coordinate system. f(x) = x3 +6