Let x) = √3x and g(x) = x² + 2x - 1. Find f. g. (f. g)(x) = x²-√√3x + 2x√3x - √√3x (f. g)(x) = 3x + 2√3x - 1 (f• g)(x) = x√√√x + √x - √3x √√3x (f. g)(x) = x² + x-1 + V O a Ob O c Od

Q: 2. Let fx) = - 10 (x + 2 ) (x – 3)(x + 2)*. Do not use your calculator until part d. a. List the…

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Q: Domain and hange. Find the domain and range of the function. 5x² + 4 for 0 4 x 42 L

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Q: 1.Simplify: -2xy[6x² + {-6x³y – 2x²y – 2[2xy – x(3x²y– 3x – 2y) - 3x²] + 2x(xy)}– 3x²] a.

A: Topic:- Algebra

Q: Find f o go h. f(x) = √√x-9, g(x) = x², h(x) = x³ + 4

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Q: Determine the domain of f(x) = √(10 - 2x).

A: Given: fx=10-2x Domain of a function is the set of all values of x for which function is defined and…

Q: b) g(x)=2+√x-4

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Q: Use the functions given by f(x) = x + 4 O-43√x +4 O-43√x-4 ○ 43√x-4 43√x + 4 1 64 -x 4 and g(x) = x³…

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Q: Express as a polynomial. (4x - 3y)(x - 5y)

A: Given: (4x - 3y)(x - 5y)

Q: Find the domain of f(x) = 1 √x-5√7-x

A: Introduction: The domain of a function is the set of all possible inputs for the function. Given:…

Q: a. C. .-4 xy-² (-9x²y³ X3x¹y)² (√27x6¹²) b. d. (V16x4) ×5x8 3x 5y³ 25y² 9x v-²)-²

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Q: Find f. g, g. f, and g. g. f(x)=√x-9, g(x) = x³ +9 (a) f.g (b) g.f (c) g.g

A: Given query is to find indicated composite function.

Q: If f (x) = 2x + 6, g (a) = -9, find – 12 (f+g) (x) O 9x-12 -9(3x-1) -9(3x-4) O 9(3x+4)

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Q: y = (2x+5) (x-4) y = (4x³- 5x)³ 11. y = 10. ƒ(x) = 2x-1 x+6

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Q: Find fo go h. f(x) = √√x-3, g(x) = x², h(x) = x³ + 4

A: f(x)=x−3,g(x)=x2,h(x)=x3+4

Q: Let g(x) = ax2 + bx + c. Evaluate _o( - b + √b² - 4ac). 2a a(=b+ -b+√√b² - 4ac 2a -

A: Given that,

Q: Let f(x) -x² + x. Let g(x) = 6x - 4. Find the following: (a) f(5) + g(5) = 56 (b) f(6) g(6) = 1344…

A: The given functions are f(x)=-x2+x,g(x)=6x-4 We have to find the a) f(5)+g(5)b) f(6).g(6)c)…

Q: If fx) = |3x| – 10 and g(x) = 2x³, what is (g ° f(-2)? %3D

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Q: If one zero of f(x) = x3 - 3x2 – kx + 12 is -2, find two other zeros.

A: A function is a relationship between set of input values and the set of outputs. The given is a…

Q: Find the zeros of F(x) = x3+6x2+12x+8.

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Q: 2b. Please

A: To Determine: The polynomial, whose degree is 2 and roots are:…

Q: 2, and t = 3k – 2, find an expression for y = f(k). b) Express y as a function of k if y = 2x + 5

A: In the given question, the function yx is solved for yk. Given, yx=3x-2xt=3t+2tk=3k-2

Q: Vrite the polynomial P(x) = x-1 as a linear combination of P1(x) = 1-x+ 3x and Pa(x) =1-x+ 2x OA.…

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Q: Given f(x) = 3x - 9 and g(x) = 5x – 5. Find (f – g)(x). a) — 2х-14 b) 8x – 14 c) 2x + 4 d) -2x – 4

A: From the functions Subtraction

Q: f(x) = √x, g(x) = x - 1.Find:a. (f ∘ g)(x) b. (g ∘ f)(x) c. (f ∘ g)(2) d. (g ∘ f)(2).

A: Given :          fx=x , gx=x-1

Q: 1a. f(x)=−x^2 ; g(x)=x−3 Find the expressions for f∘g and g∘f and give their domains. (f∘g)(x)=…

A: 1a) The given functions are fx=-x2 and gx=x-3. Evaluate f∘gx as follows. f∘gx=fgx=fx-3=-x-32 Thus,…

Q: Evaluate h(4), where h = go f. 3 f(x)=√x²9, g(x) = 6x³ +9 h(4) =

A: The given functions,fx=x2-93, g(x)=6x3+9