(a) f(x) = c(x² + 6), for x = 0, 1, 2, 3 5 3 - (:) ( 2² X (b) f(x) = c 3-x for x = 0, 1, 2

Q: FX)=f(f(x))and G(x)= (F(x) F(4)=13f(13 )=3 f(13)=6f(4)=6 OF(4)- G'(4)=

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

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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: If h(x) = x² + 2 then h*(11) + h(-4) is

A: We have to find the value

Q: d(x) = x - 1, f(x) = x²00 factor not a factor

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

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Q: Evalvade- (3-2i)(X+y) =2(X-2ly)+2i-!

A: 3 - 2ix + iy = 2x-2iy + 2i - 1x = ?y = ?

Q: Given that f(x) = (x − 2)² and g(x) = 6 – 5x, find - (a) (ƒ + g)( − 3)= (b) (ƒ — g)( − 3)= - (c)…

A: Given function:- fx=x-22 gx=6-5x

Q: f (x) = x2 - 1 / x + 4  Find the following:   5) f (2x)  6) f ( a + k)

A: Given:-   fx =x2-1x+4   now, a. f(2x) f2x=2x2-12x+4 = 4x2-12x+4 = 4x2-12x+2 = 4x22x+2-12x+2 =…

Q: Given f(x)=x^2+5x+4

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Q: Given the functions f (x) = 3x + 5 = (x) 6 g (x) = 4 – x2 and h (x) = = 1 *, find each of the -…

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Q: If f(x) = 5x - 2x³-x²+3x-1, then %3D | f(0) = %3D Cyマ/10) %3D %3D

A: According to power rule of differentiation .

Q: = 2x - 5 and g(x) = x^2 + 2, find the (f o g)(x)

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Q: show that 1f ∘ g2 (x) = 1g ∘ f2 (x) = x.

A: The given functions are fx=9x-6  and   gx=19x+6. This implies that, f∘gx=fgx=f19x+6=919x+6-6=x+6-6=x

Q: h = (-6x³ + 9xª + 5x7) (7 + 5x – 4x?). Then h= fgwhere %3D f = and g = Using the product rule h'(x)…

A: differentiate this with product rule.

Q: (x)/(x+4)+(7)/(x-1)= 2

A: Given query is to find the solution of the expression.

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

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Q: f (0), where f (x) = x2 + 2x + 2

A: Consider the given function: fx=x2+2x+2

Q: Find the x-intercepts of the polynomial function. (Hint: Find the Zeros) f(x) = (x + 1)(2x - 6)(x -…

A: To find the x-intercepts of the polynomial function. f(x) = (x + 1)(2x - 6)(x - 5)f(x) = x3 - 4x2…

Q: for f(x) = (x-1)3 and g(x) = 1 - 4x, find the following  a) (f o g)(x) b) (g o f)(x) c) f(f(x))…

A: (fog)(x) = f[g(x)].

Q: (x+2)(y-2)=(x-9)(y+5)

A: Open the bracket, we getxy - 2x + 2y -4 = xy +5x - 9y -45

Q: If 6x° +x*-y? 3x² +y? if (x, y) (0, 0) f(x, y)= if (x, y)= (0, 0) then f,(0, 0)=

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Q: fƒ(x) = x² + 2x − 1, g(x)=2x-3, evaluate (gof) (2)

A: Given query is to find indicated composite function m

Q: 6. If f {(1,-3)}, (a) find the domain and range of f. (b) find g(r) = f(r+2). (c) find h(r)=…

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

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Q: (9) f(x² - & 8x + 3)dx (h) f(ax + + b)dx ff f(²x² (i) 7x + 4e -3dx

A: Here we have to find the integration using basic properties.   Part- g Now, ∫(x2-8x+3)dx=∫x2 dx-8 ∫x…

Q: B. Let f(x) = x – x - 4 and g(x) = 2x – 6 4.) Find ()(x - 1) 5.) Find (4) (x)

A: topic - functions

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: 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: If Ax) = x² + 3x – 2 and g(x) = X+2 then g(f(-1)) is equal to 6.

A: The objective of the question is evaluate the value at the given functions of composition.

Q: f(x) = -(x2 + 2x - 3) %3D f(x) 10-

A: Given:- f(x) = -(x2 +2x-3)  To find:- STANDARD equation of f(x)