3. Let g: ZxZ-Zx Z be given by the formula g(m,n) = (m+n,m + 2n) For example, Find a formula for the inverse of g. g(1,2)=(1+2,1+2-2)=(3,5).

Q: Find f(x) and g(x) such that h(x) = (f o g)(x) and g(x) = 3- 5x. h(x) = (3 – 5x)³ – 2(3 – 5x)² + 5(3…

A:

Q: Let f (x) = 2x +2 and g (x) = –3x+1 Find g(f(2)) O -17 O -18 O -35 O 18

A:

Q: Given the function h (x) = -v2 – x, what is h (x)?

A:

Q: 3. (2.6.7) Use Horner's method to calculate g(-2) and g/(-2) where g(z) = 42¹-52³+ 6-7. Do not use a…

A:

Q: Let f(x) - x2 - 5 and g(x) - 7 - x. Find a formula for h(x) - f(g(x)) + g(f(x)) in terms of x. h(x)…

A:

Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. f(x) = 3x +x + x-4, k= - 1…

A:

Q: Which is the inverse of f(x) = (x – 2)3 ? %3D O f1(x) = (x + 2)* O f1 (2) = Va + 2 Of1(x) = (x – 2)³…

A:

Q: The Domain of f (x) is [2, 0) and range of f(2) is [1, 3]. then Select one: O a. domain of f(x) is…

A:

Q: Given g(z)- In(8z +z), the derivative g(z) is %3D O 8z + O 9z O 72z +1 7278+1 O 72r +1

A:

Q: 6.) Find f/g and its domain. т — 2 3 f(x) g(x)

A: To Find f/g and its domain. f(x) = 3x,  g(x) = x-2x

Q: Prove that f (x) = -16+x 4 and g(x) = = 4x + 16 are inverses. ||

A:

Q: %3D Find g[1(-2)], if 1(x) = x² and g(x) = 3x – 5. %3D -17 -7 -44

A: Explanation of the answer is as follows

Q: How would you find g (A) if a) g (x) = 1. b) g (x) = (x + 1)2 . c) g (x) =⌊ (2x + 4)/3⌋ Where A =…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Q: Let f: R→R be given by f(x)= x +3 Find (a){x: f(x)= 28} (b) The pre-image of 39 and 2 under f.

A:

Q: The values of g and g' are given in g(x)| g'(x)| g¯¹(x) | ( g¯¹) '(x) -1 1 2 -2 -1 Complete the…

A: Ans:

Q: Suppose that F(x)=f(g(x)) and g(14)-2, g(14)-5, f(14)-15, and f'(2) - 11. Find F(14). O 17 O 55 O…

A:

Q: For #'s 11 – 14 , h(x) = (ƒ og)(x) Let h(x)= (5x+1)* - (5x +1) and S(x) = x² – x, find g(x) Let h(x)…

A: Given: hx=fgx Q 13: hx=5x+12-5x+1 fx=x2-x Now, As per question hx=fgx=gx2-gx Or gx2-gx=5x+12-5x+1 On…

Q: f (x) = 2(x - 5)2+ 3. f (x) is invertible for which values of x?

A: Given that,

Q: Find the inverse of f (x) = Vx+ 3 – 2. Of1 (x) = a – 6x² + 12x – 6 Of (x) = -2³ – 3 O 1 (x) = (x +…

A:

Q: 4. Let f (g(x)) = (3x – 5)² + 1 and g(f(x)) = 3x² – 2. Find a single formula for f and a single…

A: We have given that f(g(x))=3x-52+1 and g(f(x))=3x2-2. We have to find for single formula for f and a…

Q: The inverse of the function f (x) = 3 – 2x is x+1

A: Solution of question is written in step2.

Q: In a study of the relation between the price (in thousand pounds) (x) and the number of computers…

A: