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Let h(x) = 14), where f(x) = –2x – 3 and g(x) = x2 – x + 2. What is h' (x)? Select the correct answer below: 2x2 +6x–7 *4–2x3 +5x2–4x+4 -6x2–2x-1 x+-2x3 +5x2-4x+4 2x2+6x–7 x-x+2 O za
Question 14 Given f(x) = – 2x – 1 and g(x) = V2 – 9, find f (g-1(x)) = Submit Question x Question 15 Score on last try: 0 of 5 pts. See Details for more. Try a similar question You can retry this question below Let f(x) = 4 + vx – 4. Find f-1(x). f-1(x) = Now for fun, verify that (fo f-1)(x) = (f-10 f)(x) = = 2 Submit Question
A polynomial Px) and advisor obx) are given Use long division to find the quotient Qpx) and the remainder REX) when PIX) is divided by dix), and express P(x) in the form d x) (x) POS=X. 54 dX) EX-2 ON -21072 - 2x + 4)+72 O X-2302 - 2x 4) - 56 OC -230 +234 OD -232 2x+4)*72
let h(x)= 1/4 (x^3) + 2x-1 and let g be the inverse function of h. Notice that h(2)=5. Find G'(5)=
f(x) = 2x+4, g(x)=2x? + + 1; Find (gof)(1). O A. 10 OB. 19 O C. 73 OD. 16
x2 + 2x – 15 Let f(x) #3 X - 3 if x = 3 Find the value of k which makes f continuous at x = 3. k3 1 Select one: O a.3 O b.8 Oc. 2 O d. 79 O e.O Å
Let f(x) = Vx and h(x) = -5 Find f-h and its domain. Which of the following defines the function f-h? O A. (f=h)(x) = x5 - vx 08. (r+nywa OC. -nya) = OD. (8-}x)= 18-x=5 X -5 (f-h -5 The domain of the function f-h is (Type your answer in interval notation.)
2. Let X ~ Bin(4, ), i.e., the PMF of X is given by Px(1) = (1) (1) *,* = 0,1,2,3,4. Find Px B(k) where B = {X #0}.
Find an antiderivative of the function f(x) = 2x® (3x? +4)? What is a possible antiderivative of the given function? O A. F(x) = 6 (3x® + 4) 3 OB. F(x) = (3x® + 4) 3 OC. F(x) = (3x +4) 3 OD. F(x) = § (3x?+4) 3
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...