5. What is (gof)(x) if f(x) = 2x+3 and g(x) = ? O (gof)(x) = x + ¾ O (gof)(x) = x + 2/ O (gof)(x) = x + 1/{ O (gof)(x) = x+3

Q: Find (f/g)(x) if f(x)=x+2 and g(x)=x2+4x+4. Choose from the answers below. a) (f/g)(x)=x+2 b)…

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Q: if h(x)= x2 -1 and k(x)=5x-3 what is h(x)*k(x) I keep getting 5x3 -3x2 -5x+3 what am I doing…

A: Given h(x) = x2-1   and k(x) = 5x-3To determine h(x) x k(x)

Q: Js:(Jī - x*) dz = 15/x (A) vX - 15x? +C 2 (B) 5x - 3 + C 4 (C) 2x5/2 _ 5x + C 4 (D) 25x5/2 5x1 + C 4…

A: Given: ∫5x(x-x2)dx

Q: Find (go f)(x) if f(x) = 2x2 – 3x and g(x) = x + 2 O 2x2 + 5x + 2 O 2x2 + 5x + 8 O 2x? – 3x +2 O…

A: Given: fx=2x2-3x and gx=x+2 To find: gofx

Q: ƒ(5x² + 4x³ − 2x + 1)dx 이름 +2 -를 +a + C 5 2 O x5 x5 + x²-x²+x+C O 20x5 + A O 20x³ + 12x² −2+ C…

A: Given, ∫(5x4+4x3-2x+1)dx

Q: 9(x) = 2x + 3 (a) g(5) 6.

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Q: - 9x - 24 (x + 4)(x + 1) Evaluate ·S -dx + C

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Q: Letf(x) = x² – 5x + 6, g(x) = 5x – 1, find the following: (1)(f + g)(x) = (2) (ƒ − g)(x) = - (3) (ƒ…

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Q: (P) xp- (e) fx dx (1) √(2x² - 6² xp(x9

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Q: Differentiate y O 1 4x +2 = x(x-1) (2x²(x + 1)) 3(x-1)²(x²+2x+1) 8x² + x 2 2 O3(x-1)² (3x²-1) 8(x² +…

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Q: (x+1)/(x-1) + 2 > 0

A: We need to find the interval of x for which the given inequality holds good.

Q: x² +25 D)+ Xx Evaluate the following integral f (6) A) 4 Inx-21-In/x+31+ C C) 4 Inx-31-In/x+21+ C…

A: We use partial fractions to solve the given integral.

Q: and f(a) f(x) = 4x² + 5x² + 6x-7 3 7 2. Find f(x), f"(0), given

A: Given a function f(x)=4x3+5x2+6x-7 We have to the following of the given function, f''(x) f''(0)…

Q: Suppose f(x) = 9x 9 and g(x) x2 + 5x + 8 (f o g)(x) = %3D

A: f(x)=9x-9g(x)=1x2+5x+8f ο gx=f(g(x))put x=g(x) in f(x)

Q: (5) The form of the partial fraction decomposition of f(x) B C A) С + x-2 B x² +25 CX+F x²+25 C)+…

A: To determine the form of the partial fraction decomposition  of fx=11x4-2x3-4x2+5xx-2x2+252. Note:…

Q: 4. If f(x) = x² + 2 and g(x) = 2x − 1, what is (fog)(x)? (A) 4x² - 4x +3 (B) 4x² + 3 (C) 4x² - 4x +…

A: Detailed solution will be given below

Q: If f(x) = x2 + 4x − 7, what is f(7)?   f(7) =

A: Given that f(x) = x2 + 4x − 7 To find f(7) we have to put x = 7 in the above equation.

Q: (x²-x) y¹ = (x²+1) y + 12x (x²-1) ³ y' when x = 2, Y = 9

A: Given differential equation is  x3-x y' = x2+1 y  + 12 x x2-13                      ⇒      x3-x…

Q: Define f(x) = x2 + 2x-15 and g(x) = (√x+4)  (Note: x+4 all under square root) Give the value of…

A: We will find the value of (fg)(5) from the given information using the composition of functions.

Q: (e) 7 x² 3x2-6x x²-4x+4 (f) 1−4+1/2/2

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Q: Find f(f(f(1))) given 2 +3 2x – 6 if 2 5 f(f(f(1))) =

A: Given query is to find the indicated composite function.

Q: If f(x) = 3x-1 +4 and g(x) = 4x-7, what is (f- g)(x)? %3D O A. (f-g)(x) = 3x-1 - 4x- 3 %D B.…

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Q: Given that g(x) = (x2) +3 and f(x) = (x^2) + 5x + 7, what is f(g(x)?* O (x*4) + 15x + 21 O (x*4) +…

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Q: In f (x) = -3x* + ax³ – 4x2 + 2x + 11, if f(3) = 40, What is a?

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Q: If C(x) = 9x² - 8, find the following. (a) C(0) (b) c(-1) (c) C(-3) (d) ((--)

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Q: What is f(x)* h(x) if f(x)=6x²-2X+2 and h(x)=, 1?

A: f(x) = 6x2-2x+2  h(x) = 1/2x

Q: Given f(x) = 1 + 6x – x? and g(x) = 4x + 1

A: Given: fx=1+6x-x2  and gx=4x+1 To find: f+gx

Q: u(x)=2-2x + 5x * +7x³ + (x-1)u(t)dt

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Q: 3(x+5, =ax-5

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Q: Suppose f(x)=√x² + 6x +10 and g(x) = −3x + 9. (fog)(x) = (fog)(-1) =

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Q: 3(x+2)(x-2)=0

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Q: f(x) = 4 − 2x/(x + 1)(x + 3)(2x + 1) = A/(x + 1) + B/(x + 3) + C/(2x + 1) find the values of A,B,C

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Q: 22 f(x) (10 )(19 x)(13+2x)(7 2x)

A: Expand the given function as follows.

Q: Which is the quotient of f(x) if f(x)= 2x? + 3x -5 and g(x)= 3x² -x -2? g(x)'

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Q: f(x)=−4(x+9)(x+7)(x+1)

A: Here we don't know fully question. f(x)=-4(x+9)(x+7)(x+1) f(x)=0 (x+9)(x+7)(x+1)=0 x=-9,-7,-1