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 = 0
b) h(x) = -2x + 20
Evaluate the following expressions, given functions f, g, and h: f(x) = 9 – x2 g(x) = –2x² + 5x +8 h(x) = 2x – 5 a. 4f(3) – 28(-2) = -10 b.f (!) – h(-3) =
Find the derivative of the following functions: Inx 22 C. a. F(x) = In (3x) b. Y=: Y=52x-1 d. Y= log1032 e. Y=In(x2-2)2/3 f. Y= In g. Y= log2 (2x - 1) h. Y= 8** e 1+e+
Evaluate as instructed. 1) Use f(x) = 3x + 4 and g(x) = x - x2 to evaluate (f + g)(-2). A) -4 C-8 B) 4 D) 12
9) Find ( 5x+3x+3x dx a) O 5x2 + x3 + x2 + c b) O 5x3 + 2x2 + 3x + c c) O 5x3 + 2.x + 3x + с d) 0 5x + x² + x3 + c 8) Find the most general solution of the differential equation dx C49602 Weight: 1 = 6x2 - 7; given that y = 5, dy = 2, when x = dx o. a) y = PR + 2x + 5...
Given that f(x) = 3x + 1 g(x) = 5x - 8 and h(x) = 2x – 1 3 Find:- i) f(-4) = ii) g[h(5)] = iii) f[g(3)] = iv) g[h(x)] = vi) h-1(7) =
Let g(x) =3x + 5 and f(x) = x2 + 2x – 7 . Find f(g(x)).
Evaluate the following limits: x2 +7x - 14 a) lim 2x-5 b) lim tan(3x) - X = c) lim X+0 4x2-3r d) lim a "270 3x - 3xcos(2x) 2x2 sin(3x)
1. Find the slope for each of the functions below: (a) y = f(x) = 52 (b) y = f(x) = 1 3 x 3 + x 2 + 4x − 10 (c) y = f(x) = 1 3 x 3 + x 2 + 4x + 400 (d) y = f(x) = x 1 2 (e) = f(x) = 4x 1 2 + x 2 − .1x 3 − 5 (f) = f(x) = 4x + 6 (g) y...
1) Let f(x) and g(x) be f(x)-x2-x (x)- x + 2 Find (f/gXx) 2 +a 2) Solve the 2-equation system for both the variables x and y 5x-4y1 2x + 3y-2 3) Find an equation for the line parallel to y x-8 with the y-intercept being(0,-5).
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...