let h(x)= 1/4 (x^3) + 2x-1 and let g be the inverse function of h. Notice that h(2)=5. Find G'(5)=
let h(x)= 1/4 (x^3) + 2x-1 and let g be the inverse function of h. Notice...
2) (12) f:R-(3/2)-R-10, (x) 1/(3 2x) g:R--21->R-1o), g (x)1/ (x 2) h:R-(-4/3]-R-(1/3), h(x) (f o g) (x) Verify if h(x) is one to one and onto. If it is, find the inverse function of h(x).
2) (12) f:R-(3/2)-R-10, (x) 1/(3 2x) g:R--21->R-1o), g (x)1/ (x 2) h:R-(-4/3]-R-(1/3), h(x) (f o g) (x) Verify if h(x) is one to one and onto. If it is, find the inverse function of h(x).
2x + 6 15. Find the inverse of h(x) = = 16. If f(x) = 2x - 1 and g(x) = x2 - 2, find [g • f](x).
Let f(x) = 3x2 + 4 and g(x) = 2x − 4. Find the function. (g ∘ f)(x) =
(c) Find a formula for the inverse of the function. 4x-1 ) f(x) _[3 marks] 2x+3 (ii) f(x) = /10 - 3x [2 marks) 1+1 (111) g(x) = 1-e* [3 marks] Total: 25 marks!
Q4 (4 points) (a) (1.5p) Find f +g-h, fog, fog•h if f(x) = (x - 3, g(x) = x^, and h(x) = x* + 2 (b) 0(1p) Find the inverse of the function f(x) = 4x - 1 2x + 3 () (0.5p) Find f(-)) (c) Simplify: 0 (1p) In(a) + { ln(b) + Inc mais)
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...
Let h(x) = 14), where f(x) = –2x – 3 and g(x) = x2 – x + 2. What is h' (x)? Select the correct answer below: 2x2 +6x–7 *4–2x3 +5x2–4x+4 -6x2–2x-1 x+-2x3 +5x2-4x+4 2x2+6x–7 x-x+2 O za
Find the inverse of the one-to-one function f(x) = 2x − 3. f −1(x) =
3x +5 8. Find the inverse of the function g(r)- 4 -1 a.3 g" (x)=4x+5 4 b. g()-3x5 4x-5 -1 (x)= 4 d, g-i(x) = 3x +5
Problem 5. Let f and g be R + R defined as f(x) = 2x +1 and g(x) = x3 – 2x + 1 Find go f and determine if it is bijective. If it is bijective find its inverse. (20 pts)