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) =
TUTI) 8. and h(x) = 3x - 2, a) If g(x) = 2x + 10 3 Find: - (3 marks) and express in its simplest form g[h(x)] = find f'(x) b) If f(x) = = 2x - 1 3x + 4 (4 marks)
f. g(f(x)) 5) Solve the system of equations (4.1) (5x + 4y = 7 (2x + 7y=-8 6) Graph the inequality 3x + 5y > 30. (5.1) 7) Graph the system of linear inequalities (5.2) 3x + 2y = 22 (5x + 7y = 55 8) Find the value of an investment in an account (2.5, 3.1, 3.2) a. Bearing 4% simple interest after 5 years.
Question 11 Find the derivative: f(x) = x2 In 5x 2x (3x In 5x) X+ In 10x **Previous
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 the functons: f(x)=x² – 3x 8(x) = 13x h(x)=5x+3 Evaluate the function (h )(x) for x= 2. Write your answer in exact simplified form. Select "Undefined" If applicable. (h of)(2) is
g(x) = 2x -1, 8)) Given f(x) = x?, a) f(g(x)) h(x) = Vx+2; find the following: b) g(h(x))
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) =
x+5 + 4. Solve +7x+2 x-1 212+5x+2 3x28x+4 (a) You know the drill! Factor the denominators! (NOTE: If you need help factoring these polynomials, see Helping Handout: Lab 1B) i. Factor the first denominator: 6x2+7x +2 = ( OC ) ii. Factor the second denominator: 3x+8x+4-( iii. Factor the third denominator: 2x2+5x+2 = ( ) (b) Rewrite with factored denominators: x+5 x-1 X + (2x+ 1)(3x+2) x+2)(3x+2 ) (c) Find the restrictions: (x+2) (2x+1) AND AND (d) Find the LCM:...
Problem 4.1 Dependent equations? Given: x +2x2 2x+3x, 5 2xx +3x-2x 18 -x, + 3x2 + x3-4x,--6 x 3x2+ 5x 5x, 13 If the set of 4 equations is dependent or independent Find:
8. Using Chain Power Rule a) ∫ (3X^2 + 4)^5(6X) dx b) ∫](2X+3)^1/2] 2dx c) ∫X^3](5X^4+11)^9 dx d ∫(5X^2(X^3-4)^1/2 dx e) ∫(2X^2-4X)^2(X-1) dx f) ∫(X^2-1)/(X^3-3X)^3 dx g) ∫(X^3+9)^3(3X^2) dx h) ∫[X^2-4X]/[X^3-6X^2+2]^1/2 dx