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...
Question 2 Find the indicated function value. Find f(-4) when f (x) 2² +4 23 62 O-2/7 0-5/16 0 - 1/2 O-2/5 Question 3 BILI SUULILULUI NV, O Question 5 3 pts Find the indicated function value: f(3) = 5 - 8a, g(x) = -3x + 8. Find (f + 9) (x) - 3x + 5 - 5x + 13 0 - 11x + 13 2x Question 6 3 pts Find the composition of functions: f(x) 70? + 4x, g(x)...
3. The values of f, g, f and g' are given as follows. 2102 f(x33/22 g(z2/3 1/4-13-1 (a) Let P( (). Find the values of P-2), P(-1), P(0), P(1) and P(2) (b) Let Q(x) = /(x)/g(x). Find the values of Q'(-2), Q'(-1), d"(0), (2(1) and Q'(2). 3. The values of f, g, f and g' are given as follows. 2102 f(x33/22 g(z2/3 1/4-13-1 (a) Let P( (). Find the values of P-2), P(-1), P(0), P(1) and P(2) (b) Let Q(x)...
11) Fin 12) If f(x) = 3x-5 and g(x) = x2 +3x-1, find f(f(x)), g(g(x)), f(g(x)), and g(f(x)) 17 find the eyart value of siny if x is an angle in standard position whose terminal side conta
3x+2 f(x) =( :) (x-> +1) Your problem: using the rules of differentiation, find the derivatives of the collowing: f)-(3442) fool(3x+2) (-5x + x + 1) - 2 1 =(-15x 10x" + (-2x = 2) =>15x410x5 - 2x = = 3x -3x- 27 (X)(3+0)-(3x+2)(1) x² g'=(x) =F12x15x4_2 = -5x6 xb * please check my work, if wrong, please write out correct solation! Chain Rule: When functions are composed, to take the derivative involves both the outside function and the inside...
16. Divide: X-3 1 [A] x2 + 3x + 2 [B] x3 +3x2 + 3x – 1 X-3 3 5 [C] x2 + 3x + 14+ [D] x2 +3x+9+ 20 x-3 [E] None of these X-3 е е
1. Calculate g(b) and g′(b) where g(x)g(x) is the inverse of f(x)=3x+11. g′(x) = 2. Calculate g(b) and g′(b) where g(x) is the inverse of f(x)=3/(x+4), where b=3/10. g(b)= g'(b)= 3. Calculate g(b) and g′(b) where g(x) is the inverse of f(x)=3x+11. g′(x) = help please
Please do 14 and 16: In Exercises 13 - 20, find the total area enclosed by the func- tions f and g. 13. f(x) = 2x² + 5x – 3,g(x) = x + 4x – 1 (14. f(x) = x2 – 3x + 2, g(x) = -3x + 3 15. f(x) = sin x, g(x) = 2x/TT ( 16. f(x) = x3 – 4x² + x – 1, g(x) = -x + 2x – 4
Evaluate the following f(x)=x2-1 and g(x) = 3x +5. :a. f(-3) b. g(-2) c. f(0) d. g(5) 2. Find the x and y intercepts of the following functions: a) f(x) = x2 - 5x + 6 = 0b) h(x) = -2x + 20
Given fix) and g(x), find the indicated composition and evaluate. 26) f(x)-3x+7: gx) - Find (f °g)(2). 13 25 A) B) C) 13