Let f(x) = √ (x + 3) (x+3 is all under the square root), g(x) = 1/x−1 .
Find f/g and find its domain.
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f(x) = 2x -1 g(x) = Square root (x-1) Find the domain of f, g, f+g, f-g, fg, ff, f/g, and g/f. I actually got the answers to the domain of f and g, but i'm confused on how to find the others based on just f and g. Like for the domain of f, I got (-infinity, positive infinity) then for the domain of g, (negative infinity, 1) U (1, positive infinity)
1, describe the domain of f(x,y) =ln(xy)/square root (x+y).
18. Let f(x) 4x2 +1 and gox)- 3x-4. Find (f+g)x), (f - g)(x). (I eg)X<), and (x). Determine the domain of seros d (t+g)0x)= (Simplify your answer. Do not factor.) 0o.o (Simplify your answer. Do not factor) = (x6-) (g)x) (Simplify your answer. Do not factor.) swer. Do not factor.) (Simplify your (x)= Choose the correct domain of B. All real numbers 1 A. All real numbers except t D. All real numbers except 4/3 C. All real numbers except...
Question 16 (1 point) N 1 3 Let f(x) = and g(x) + 4. X – 6 х Find the domain of the composition f(g(x)). The domain of f(g(x)) is all real numbers except Note: You are only finding the values to exclude. Enter answers separated by commas. Answers should be an integer or reduced fraction. Do not provide decimal answers.
a) 1 square root of g b) 2 square root of g c) 3 square root of g d) 4 square root of g e) 5 square root of g A triangular channel whose top width is three times the water depth (T-3y), n 0.025 passes a discharge of 3.32 m3/s. Find the critical depth (v) a) 2 m b) 1.5 m c) 0.5 m d) 2.5 m e) 1 m 4. 5. A triangular channel whose top width is...
please show work 1.Let g(x) = log3(x +3)-1 . d. (3 pts) f(8)-3, the corresponding point on the graph of f(x)is.H The transformed point on the graph of g(x) is . e. (2 pts) Find the domain and the range. Write in interval notation. 1d. point on f(x): point on g(x): f. (1 pt) What is the vertical asymptote? That is, as x→ 1e. D: R: 1f. 8. (5 pts) Find the equation of the inverse, g(x). 1g. 1.Let g(x)...
please show all work so i can understand Write f(x)=ln((x^2 square root(x-4)/(x+1)^3)) in terms of lnx, ln(x+1), and ln(x-4). Then find f '(x).
Let F=Z_3, the finite field with 3 elements. Let f(x) be an irreducible polynomial in F[x]. Let K=F[x]/(f(x)). We know that if r=[x] in K, then ris a root of f(x). Prove that f(r^3) is also a root of f(x). Which of the following are relevant ingredients for the proof? If a and b are in Z_3 then (ab)^3=(a^3)(b^3) The Remainder Theorem If a and b are in Z_3 then (a+b)^3=2^3+b^3 For all a in Z_3, a^3=a The first isomorphism...
3. (25 points) Let f(x) = 2/2_8 (a) Find the domain of f. (b) Find the equation of all vertical asymptotes or explain why none exist. For each vertical asymptote = a, calculate both the one-sided limits limo+a+ f(x) and limo-ha-f(T). (c) Find the equation of all horizontal asymptotes or explain why none exist. C Bollett. ollett (d) Let g(x) = f(x) if x 70 For what value of b would g(x) be continuous at I=0? (or if no 91...
Let F=Z_3 , the finite field with 3 elements. Let f(x) be an irreducible polynomial in F[x]. Let K=F[x]/(f(x)). We know that if r=[x] in K, then ris a root of f(x). Prove that f(r^3) is also a root of f(x). Which of the following are relevant ingredients for the proof? If a and b are in Z_3 then (a+b)^3=a^3+b^3 If g is an automorphism of K leaves g(r) is a root of f(x) The Remainder Theorem The Factor Theorem...