1f \ x | < 1 and 1= x < < 1; then: 2 ₂ F₁ (a, b ; c ; x ) = (1 − x)¯ª₂ F₁ [a, c − b; c; X _— — ₁) X-

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A: If f(x)=ax, Then to show that, f(αx)=f(x)α

Q: If f(x) = (x6 + 4x) ³, then df(x) a) 3(x64x)² (x5 + 4) b) 3(x6 +4x)² Oc) (x6 +4x)² (6x5) da equals…

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Q: H.w Exl Let f(x)= 4x+2X+243and go)=3x+3x+3xx +4, where 2. t. f(x),900€75LX] Compute POX) +g (x).and…

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Q: If f(x) In - In( + o). + e6x, find f (0).

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Q: 2. Given x(t), - 2st<-1 ato - x(t) = 2 - 2t -1st<1 otherwise a. Draw x(t) b. Find and draw x(-1- 2t)…

A: Solution is given below..

Q: 2. If F' =fand f(x) = 18x 12x+ 2x, which of the following could be F(x) ? %3D %3D - (A) 3x° – 3x* +x…

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Q: Answer all a

A: Substituting x = -5 in the given functions, we get i).  ii).

Q: f (x) = x²ex3-I

A: Given:        f(x) = x2 ex3-1

Q: If fx) x) f(1) = and f(1) -2, find 1) -16/13

A: Formula used:

Q: The function f (x) = 3x² –4x-3 is continuous everywhere.

A: Given,             f(x)=3x2-4x-3

Q: a). find f o g b.) find g o f

A: Given that : The equation of the functions f(x) = 1x2+ 4  and g(x) = x - 2 .

Q: f(x+h)-f(x) 2. Evaluate h If a. G) f(Vx) b.

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Q: 119. If f(x) = a*, show that f(A + B) = f(A) • f(B).

A: Given: fx=ax For finding fA+B, we put x=A+B in given expression and simplify it

Q: Let f(x) = -7 + 6x² - x³. The point x = 4 is a critical number of f. Select one: O True O False Give…

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Q: Posses ho solurion forr fcs)=S but That Posseses infinitly many solutions whcn f(s) =l

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Q: lim [x² + 3x – 5]

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Q: Construct a table of values to investigate If r so x? - 2 if x > -1 Jim f(x)tf f(x) = *--1

A: limx→-1 fx if fx=1xif x≤0x2-2if x&gt;-1  x -1.004 -1.002 -1 -0.998 -0.996 f(x) -0.9960 -0.9980…

Q: 4. For f(x) = x² – 3x, evaluate a) f(2) [2,3,3] c) the value of x when f(x) = 4 b) f(m + 1)

A: Given,              f(x)=x2-3x

Q: Let f(x) f-¹(-2) = x + 3 x + 6

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Q: A) 13x| <|2x -5|

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Q: Let a, b 0. Find f(100) (a) provided that x³ (a - bx)²* f(x) =

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Q: 13) f(x) = |x| g(x) = -5x + 2 Select the correct value for (gof)(2). a. 8 b. -8 c. 12 d. -12

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Q: Suppose f(x) = 9x 2 and g(x) = Vx – 2x + 6. - - (f o g)(x) = (f o g)(2) = %3D

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Q: Find a,b to continue the function at x=3 if: x > 3) x = 3 x < f(x) = ax + b 2ab + 1 bx - a +3 3)

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Q: 1. Let f(x) = 3x + 1, g(x) = 7 – 2x, and h(x) = x² – 4.x + 5. Find the following: a) (f + g)(2) b)…

A: 1. Given, f(x)=3x+1g(x)=7-2xh(x)=x2-4x+5

Q: Let n be a positive integer. Define the function fn(z) by dzn (2²+2x+2)". Find the value of fn(-1 +…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: If f(x) = (x – 3)² +1, what is f(6) ? O -2 О 10 О 16

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Q: (6) (x)어

A: we have been given f4(x)=(x2+1)2 we have to find the value of f6(x).

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Q: Let f(x) = 3+ √5-8. Find f f(₂)=[

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Q: Let fx)-1+x+x² and h = 0. (5+1)-(5)-(1)? (a) Does O Yes No Well done! (b) Find f(x + h). (c) Does…

A: We need to find function.

Q: (1 - x² x² if x ≤2 if x > 2 42. f(x) = = X

A: The given function is a piecewise function, which means it is defined by different formulas…