Consider the function. f(x) = x (a) Find the inverse function of f. p-1(x) = 5V...
(1 point) f(x) = 5x + 6 a. Find a formula for the inverse of the function. f-1 (x)= b. Graph the function and its inverse on the same set of axes, along with the graph of yx
(4) Consider the function f(x) = V2 cos x. (1) Find the linear approximation L to the function f at a = (ii) Graph f and L on the same set of axes. (iii) Based on the graphs of part (ii), state whether linear approximations to f near a are underestimates or overestimates. (iv) Compute f"(a) to confirm your conclusion.
DIFFERENTIAL CALCULUS QUESTION 4 Consider the function f(x) = 3x2-2x-1 4.1. Sketch f, indicating the intercepts with the axes and the coordinate of the turning point. (S) 42.Consider the points P(-3:fC-3)and (:) 4.2.1. Plot P and Q on fand draw the line passing through them. Determine the average gradient of fbetween P and Q 4.2.2.
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...
10. Find the inverse and graph the function and its inverse on the same coordinate system. f(x) = x3 +6
Question l: Consider the function f(x) = sin(parcsinx),-1 < x < 1 and p E R (a) Calculate f(0) in terms of p. Simplify your answer completely fX) sin(p arcsinx) f(o) P The function fand its derivatives satisfy the equation where f(x) denotes the rth derivative of f(x) and f (b) Show thatf0(n2p2)f(m)(o) (x) is f(x). (nt2) (nti) (I-x) (nt 2 e 0 (c) For p E R-仕1, ±3), find the MacLaurin Series for f(x), up to and including the...
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Given the function f(x) = VX-7, (a) Find f '(x). (b) Graph fand in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range of fandf (Hint: To solve for a variable involving an nth root, raise both sides of the equation to the nth power,
In order to determine if a function f has an inverse from only its graph, use the In order to determine if two functions are inverses of each other from only their graphs, check to see that the graph of one function is a __ of the graph of the other function across the line The domain off is the same as the offis the same as the of its inverse function and the range of its inverse function. (a)...
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.
find the inverse of f-1(x) of the function f(x)= ^3 root x-5
3) find the inverse f(x) of the function, f(x) = 3JX-5 3x = 14-5 deel X² = Jy - 5