K4. The function f(x of the hole? (0,5) (3, 3) (3,5) O (3,0) ABBOND 6-2x 5/3x-5 4 has a hole at x=3. What are the coordinates

Q: Let m(x) = 2x² - ax - 2 and n(x) = bx² + 2x + 5. The functions are combined to form the new function…

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Q: 8. Given: f(x) = x - 2 and g(x) = 2x + 3 Find: a. (f + g)(x) b. (f - g)(x) c. (f · g)(x) d. (fo…

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Q: 1)For the pairs of function find: a) (fog)( c)The Domain of (fog)() fow=3x- 4 b) (gof)s) gN=Vx + 2

A: We have the given function as fx=3x-4gx=x+2 The term “composition of functions” (or “composite…

Q: The functionf is one-to-one. Find its inverse. 5 18) f(x) - 4x +3 18) A) x) =5-3x B) flx) = 4x 3x -…

A: We have to find inverse

Q: fx) = 1 + 5x f(x) 2の 31 -2 -1 0. 2 17

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Q: What is the vertex and y-intercept of the function f(x)=(x−2)2+3?   The vertex is at (−2, 3) and the…

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Q: A. y = - (x – 2)2 B. y = -(x - 2)2 C. y = (x + 2)? D. y = -(x + 2)² 7. A. y = -4(x + 2)² + 1 B. y =…

A: General form of parabola is: y=ax-h2+k........(i) , where h,kis coordinate of vertex and x,y is any…

Q: Which function has an x-intercept of - O a) f(x) = 3x + 2 5x-1

A: Introduction: The value of the x-coordinate at the point where the graph intersects the x-axis, or…

Q: 4) Write the following functions in vertex form. 2 a) P(x) = x 2x - 7 b) P(x) = - - x² + 6x + 2

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Q: The left-hand side ne equation 1dw -9 = 93w – 9 an be written in the form 3f(w) for some linear…

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Q: When dividing the polynomial f(x) by x-p, where p is a real number, the quotient Q(x), then is f'(p)…

A: In the first question it is given that, When f(x) is divided by (x-p), the quotient is Q(x). Now…

Q: -B -2 4 3 2 WH + 2 --3- -4 Y 2

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Q: Which quadratic function is represented by the graph? 9. -4 2.

A: From given graph we can conclude  At y = 5 x = -4 At y =0 x = -ve Using these points to verify the…

Q: b 11. Find the vertex of f (x) = x² – 8x + 16. Use x = 2a A. (4,0) (- 4,0) С. (0,4) D. (0, -4) B.

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Q: Group 2 x2 – 2r – 3 c(x) = x2 – 4x – 5 11 %3D 10 8 2. Fill the Table: 3. Graph the function: 4 3 2…

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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: Given that f(x) = 4x² + 5X-9, find f (h-3)-f(-3) h

A: f(x)=4x2+5x-9for f(h-3) put h-3  in f(x)

Q: 8) Find 4 given : f(x)=- (3x² – 2x +1)'

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Q: Let (-1,(-1) = 2), (0, ƒ(0) = 5) and (1, f(1) = 6). Which one gives quadratic spline functions?…

A: Given, -1,f(-1)=2,(0,f(0)=5) and 1,f(1)=6

Q: Show that the function (x2+y2 t224이) is a Solution of Loplace's equation d2u dy?

A: It will be solution of given Laplace equation only when, it will satisfy it.

Q: 14. Use f(x)= x² – 10x+16 to answer questions a-d. Remember, you must show your work for each part.…

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Q: 2. Find values for b and c so that f(x) = 6x² + bx+c has its vertex at (7,-9).

A: As per rule I need to solve only first question.  So I solve only question number 2.

Q: . Let f(x) = x² + x + 3, g(x) = 5x + 3 and h(x) = 2x² – 4x + 1. Find the following: d. (fo h)(-5y)…

A: Composition of the function

Q: maximise 2.01 + *2 subject to T1 – X2 < 1, 2x1- x2 1, 2x1 + 2x2 2 4, X1, X2 20

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Q: 21. Find the discriminant of the quadratic function f(x) = x² + 18x + 81. O 648 O 324 O -324

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Q: 2(×+2)^2-18=0 is the equation resulting from setting a quadratic fuction f(×) equal 0 and completing…

A: A parabola having axis of symmetry along y-axis or a line parallel to y-axis is given by…

Q: If the position of an ob ject moving along a straight line at any time is expressed by s(t) = 1³ –…

A: Given: s(t)=t3-9t2+24t