Let F(x) = f(f(x)) and G(x) = (F(x))2 You also know that f(6) = 10, f(10)...
(1 point) Let F(x) = f(x) and G(x) = (f(x))8 . You also know that a' = 2,f(a) = 2,f'(a) = 9,f'(a8) = 4. Find F'(a) = and G'(a)
Let F(x) = f(x®) and G(x) = (f(x))8 . You also know that a? = 13, f(a) = 3, f'(a) = 4, f'(a) 12 Then F'(a) and G'(a) = Submit Question
2. True or false? f(g(x) (f g)(x) Explain (just enough for me to know that you know why it's true or false) a ies 3. Let f(x)and g(x) (a) The domain of f(x) is vx-1. (b) The domain of g(x) is: (e) f(g(x)) (d) The domain of f(g(x)) is: (e) f(g(10))-
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
(a) Let Ω = [4, 101 and let A = 16, 6], [8, 10]} 2. (i) Find F(A) (ii) Let X : 2->R be defined by X = 2-1[4,5]-3 . 1 (6,8) Is X, F(A)-measurable? Justify your answer. (b) Let (2, F) be a measurable space, and let X :2-R. Suppose that X+ is F-measurable. Does this imply that X is F-measurable? Either prove it or give a counterexample.
(a) Let Ω = [4, 101 and let A = 16,...
Let f(x)=x2+4 and g(x)=3x−6. Find a formula for f(g(x)) in terms of x.
Can you also explain how to figure out f’(3) and g’(3) on the
graph?
2. (10 PTS) Given the function f and g below with a scale of 1:1, find the following (a) Find- if(x)·g(x)) for x=3 abc d g(x) (b) Find--( -) da f(x) for x-5 cic (d) Find when x=2 [g(x)'f(x)] for x=2 (e) Find
2. (10 PTS) Given the function f and g below with a scale of 1:1, find the following (a) Find- if(x)·g(x)) for x=3...
6. (6 points) Let f(x) = 3x and let g(x) be the function shown in Figure 1. Determine So f()g'(x)dx. Figure 1: Graph of g() 1.5 + 1 9(0) -0. 5 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 -0.5 +
Please help me with these questions. 1). Let f(x) = 3x2 + 2 and g(x) = 3x − 3. Find the function. (g ∘ f)(x) 2). Write an equation in standard form of the circle described. Ends of diameter at (−2, −2) and (4, 6)
Let f(x) = z² and g(x) = (1 - 5)² + 10. There is one line with positive slope that is tangent to both of the parabolas y = f(x) and y = g(x) simultaneously. ye9bx)/ y=f/ Find the equation of the line. y= On a separate piece of paper, sketch the graph of the parabola y = 2? + 6. On the same graph, plot the point(0, – 3). Note that there are two tangent lines of y =...