Evaluate the following expressions, given functions f, g, and h: f(x) = 9 – x2 g(x)...
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
For the given functions ff and gg , evaluate the given composite function. f(x)=5x2+2x, g(x)=x−9 (f∘g)(2)
= x-2 2x+1 Given the functions f(x) = x²+x-1, and g(x) x2 +5x+6 a. Which function has an oblique asymptote? [10] b. Determine the equation and end behavior of the oblique asymptote. [3A]
Given the functions: f(x)=-7x g(x) = |x–51 h(x) = x+.5 Evaluate the function (4-3)(x) for x=2. (-8)(2) is
The functions f(x)and g(x) are shown below. f(x) = 3x2 + 2x - 8 and g(x) = -x2 - x - 5. Apply the indicated operations on the given functions. [(f•g)(-2) + 3 (gºg(2)) -5(gºf)(-2)] x g(3)
9. Evaluate the function (f -9) (-2) for: f (x) = x2 +4, and g(x) = x-5 . 0-5 O 8 O 11 0-15 0 15
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) =
Given f(x) and g(x), find the following. 3) f(x) = x2 + 2x and g(x)= x + 9. (fg)(x)
8. Suppose that we are given the following information about the functions f, g, h and k and their derivatives; • f(1) = 3 • f'(1) = 2 • g(1) = 4 • g'(1) = -2 • h(1) = 9 . h'(1) = -1 k(1) = 10 • k'(1) = -3 (e) (5 points) Set F(x) = log2[f(x) + g(x)]. Compute F'(1). (f) (5 points) Set F(T) = log: [f(r)g(r)h(r)k(r)]. Compute F'(1).
2) a) Find the domain of the functions. h(x) = x2 – 5x b) Find the functions (a) fog, (b) go f,(c) f • f and their domains. 1. f(x) = 3x + 5, g(x) = x² + x 2) a) Find the domain 07 the functions. h(x) = 1/72 – 5x g(x) = - 1 g(x) = 1 – tan x b) Find the functions (a) fºg, (b) go f, (c)f of and their domains. . f(x) = sin...