4. If f(x) = ax²+bx+c, and f (x + 1) = f(x) + x + 1, what is the value of (a + b)? (A) (B) 1 (C) 1213N3 T (D) 3 (E) 4 Solve yourself: Substitute x-0 into first equation: f(0) = c Substitute x-1 into first equation: f(1) = a(1)^2 + b(1) + c f(1) =a+b+c { Substitute x-0 into second equation: f(0 + 1) =

Q: Find two functions f(x) and g(x) so that h(x) = (f og)(x) a) h(x) = (2x +3)².

A:

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)…

A:

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A: Given,

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A: Given that f(x) = −x2 − x − 4 Therefore f(-4) = -(-4)2 - (-4) -4 -> f(-4) = -16 + 4 -4 ->…

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A: Given: Tn+2=12Tn+1+Tn for n≥0 T0=a T1=b To find: The limit of Tn as n→∞.

Q: Given that f(x) = 3x + 7  g(x) = 4x + 5/3  and  h(x) = 3x – 5 /2x    Find:- i) f(-3) =          ii)…

A: Given, f(x) = 3x + 7  (i) Putting x = -3 we get  f(-3)= 3(-3)+7 = -9+7 =-2 (ii) f(x) = 3x + 7 ,g(x)…

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A: We have given  fx=x3+x2-x-1

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A:

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A: We first find f'(x) using the power rule and chain rule.

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A: Let's find.

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A: F(x)=x2+5x+C, F(1)=11

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

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A: Given: a(x)=2-8x To find the inverse replace a(x) with y. y=2-8x

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A:

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A: Given: Fx=x2-3x+C  and F-1=4

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Q: If f(x) = 2x2 − x + 5, find the following. f(2)=  f(−2)=  f(a)=

A: As per our guideline we are allowed to do 1 question and 3 subparts at a time. please post other…

Q: f f(x) =    x − 5  − 4x, find f(5), f(9), and f(14)

A: Givenf(x)=x-5-4x