find f(x) and g(x) such that h(x)-(f ° g) (x) for h(x)-V2x2 +7 Test algebraically whether...
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the graph of the parabola opens upward or downward. b) Identify the vertex using the vertex formula. c) Determine the x-intercepts d) Determine the y-intercept. e) Determine the axis of symmetry ) Write the equation of the function fit) in vertex forrm g) Sketch the graph...
f(x+h)-f(x) a) Find the difference quotient- -> (assume h + 0) for f(x) = x2 + 3x + 4 b) Find the inverse algebraically of g(x) = 2x-3
9. (4pts) Consider the linear functions f(x) 6-x+3(x-4) and g (x)-3(x+)-5(+1). Solve f(x) g() algebraically, showing all steps. (You may also check graphically) 10. 4pts) Test algebraically whether the function f(x)-4x- is even, odd, or neither even nor odd. Show your work. (You may also check your results graphically.) 11. (4pts) Determine whether the graph of y =-x' + 4x is symmetric with respect to the x-axis, the y-axis, and/or the origin. Use your graphing calculator make a sketch below...
show the steps please +9) find the domain: #10) f(x) = 5x²x find f(x+h)-f(x) h fo) = 5x + 6 X-1 21) Solve & Graph the solution: #12) Solve & Graph the solnton, 11-2x/+174 1 + 3x + 11-156
Let f(x) = 5x2 - 4x and g(x)= x2 - x+7. Find (f+g)(x), (f – 9)(x), (fg)(x), and a (x). Give the domain of each. (f+g)(x)= (Simplify your answer.) (f-g)(x)= (Simplify your answer.) (fg)(x)= (Simplify your answer.) H)(x) = (Simplify your answer.) The domain of (f+g)(x) is (Type your answer in interval notation.) The domain of (f -9)(x) is (Type your answer in interval notation.) The domain of (fg)(x) is (Type your answer in interval notation.) The domain of “x)...
Show work thumbs up VII. Functions Find the Domain of each function. f(x)--/-x2-4x + 5 g(x)-In(4t-3) a) b) e) h(x)- +3x2 -x-3 Find the zeros, vertical asymptotes, and horizontal asymptotes f(x) = 3x"-14x-5 (4x-17x-15 6x2 -7x-5 f(x) = -12 万 b) Transformations a) Beginning with f(x)- Vx, find the function g(x) that shows fcx) shited to the let 2 units, reflected over the x-axis, and then shifted up 7 units. b) Beginning with f(x)find the function g(x) that shows f(x)...
please help -- thank you 1. Determine, algebraically, whether the function f(x) = 3x + 8 and g(x) = *** are inverse
3. Determine algebraically whether each of the following functions is one-to-one. Show your work! (a) f(x) = 4x2 4x (b) g(x) 3x + 2 2x – 1
Use the rules of deduction in the Predicate Calculus (but avoiding derived rules) to find formal proofs for the following sequents: (a) x) F)~(Vx)~ F(x) (b) (Vz) ~ F(x) B) F() (3x)(G(z) Л (Vy) (F(y) H(y, z))) (e) Use the rules of deduction in the Predicate Calculus (but avoiding derived rules) to find formal proofs for the following sequents: (a) x) F)~(Vx)~ F(x) (b) (Vz) ~ F(x) B) F() (3x)(G(z) Л (Vy) (F(y) H(y, z))) (e)
Please answer the following questions with solution, thanks 4. Consider the function f(x) = 2x + 1, a) Find the ordered pair (4. f(4) on the function. b) Find the ordered pair on the inverse relation that corresponds to the ordered pair from part a). c) Find the domain and range of f. d) Find the domain and the range of the inverse relation off. e) Is the inverse relation a function? Explain. 5. Repeat question 4 for the function...