Evaluate (f− g) , (1) and (3f + 2g) , (1), assuming that f , (1) = 3 and g , (1) = 5.

Q: Given that f(x) = 6x +7 and g(x) = x", find (f o g)(-3). (fo g)(-3)=

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Q: 7) f(x) = x² – 3.x; Find f(-8) |

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Q: Let f(x) = x2 and get g(x) = 2x. Find the value of (g ∘ f)(x) (a) 48 (b) 36 (c) 72 (d) 144 (e) 18

A: In (gof)(x), input function is f(x) and output is g(x).  To find ( g o f )(x), one have to plug f(x)…

Q: h(x): = 2x and g(x) = x", find h(g(x)). Dô hót simipiny. O h(g(x)) = 2xa² O h(g(x)) = h(2x²) O…

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Q: Find (f ∘ f )(-1).

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Q: If f(x) = ax -3x+1 and f(2)=7, find

A: We can find the value of 'a' .

Q: Let f(x) = x2 + 2 and g(x) = 2x - 3. Evaluate (fo g)(x). (fo g)(x) =| (Simplify your answer.)

A: (fog)(x)= f(g(x)) f(x) = x^2 + 2  g(x) = 2x - 3

Q: If g(t) = -3t3 , evaluate g(4t).

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Q: Let f(x) = 3x - 1 and g(x) = x? + 2. Find (fo g)(7). (fo g)(7) =

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Q: f(x) = x2 + 2, g(x) = x2 - 2.Find:a. (f ∘ g)(x)  b. (g ∘ f)(x)  c. (f ∘ g)(2)  d. (g ∘ f)(2).

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Q: For the given functions, find (f o g)(x). f(x) = 5x + 1, g(x) = Vx (fo g)(x) =

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Q: Find-f(x) when f(x) = 3x+4x+4. O A. 3x-4x-4 O B. -3x-4x-4 OC. ОС. 3х- 4х +4 O D. -3x -4x+4

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Q: 3x² (9 – x² ) 2 2 (9 — 3х2)

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Q: [3] If f(2x+3)=4x²-2x+3, find f(x)

A: Firstly put t=2x +3 and find f(t) ,After that replace 't' as 'x'.

Q: 9. f(x) = Зх + 4 Then f(x + h) – f(x) A h (3x + 4)(Bx + C + Dh) Find A, B, C, and D. A = B = C = and…

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Q: = 4, fi(5) = -1, g(5) 2, and g (5) 25. If f(5) 2f(a) 3g(x) 3, find hi(5) if h(a) =

A: Differentiate the given function on both the sides with respect to x to get an expression for h’(x);

Q: f(x) = 2x4 + 2x³ – x² + 2x +3 and g(x) = x + 1 find (승)(2) and (-4).

A: fgx=f(x)g(x)=2x4+2x3-x2+2x+3x+1

Q: If f(x) = x²-x+3, then f(-2x) equals A. 4x² - 2x + 3 B. -4x² + 2x + 3 C. 4x² + 2x + 3 D. 2x² + 2x +…

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Q: Given f(x, y) a² f მ2 8² f дуг = - (6x¹y+ 2xy). Compute: ←

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Q: If f(x) = x + Vx + 5, find all values of x for which f(x) = 7.

A: Given, fx=x+x+5 and f(x)=7

Q: If f(x,y) = 2x2-5xy+y?, find the value of f(1,2). A -2 -3 -4 D -5 B.

A: f(x,y)=2x2-5xy+y2

Q: Evaluate f(3r2 - V5x + 2)dx.

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Q: Determine the l-unit growth factor for g.

A: Given Data: g1=229.5g2=344.25g3=516.375g5=1161.84375   (i) The 1 unit growth factor of g is, R=g2g1…

Q: Composition and Inverses of Functions Suppose f(x) following. = 2x, g(x) = 3x - 2, and h(x) = x² –…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: