-„Given: f (x) = x² + 4x – 3 and g(x) = x². Find the following:(simplified) %3D (a) (f + g)(x) (d) f(2m) (b) (f ÷ g)(x) (e) (g · g)(x) (c) (go f)(x)

Q: Given f(x) = x² + 3x + 9, find the following. HINT %3D (a) f(0) (b) f(1) (c) f(-1) (d) f(-3) (e)…

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Q: If g(x)=4x/3, find g(4)

A: To solve these type of equality just put the value in the function then you will get your answere

Q: 5. Let g(x) = x2 - 3x + 5. Find g(-4). | a) g(-4) = 1 b) g(-4) = 33 c) g(-4)=-23 d) g(-4) = 9 %3D

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Q: Let f(r) = 4x + 2 and g(z) = 5a² + 5x. After simplifying, (fo g)(x) =

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Q: (b) Write z = (3- 3i)+ in the form of x +iy.

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Q: :) is one-to-one and f(11)=-9, then f(-9) = (f(11))-l =

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Q: Find (f. g)(x). f(x) 8x g(x) x + 3 (f. g)(x) =

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Q: Let f(x) = x+9 and let g(x) = /x. Find the value of (f+g)(x) when x (a) 2 (b) 7 = 4. %3D (c) 9 (d) 5…

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Q: Suppose ​f(x)=​2.7(x−​2015)+35 models a situation where x represents a year. If we would like to…

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Q: Find f(9(x)) when f(x) = 2x +1 and g(r) = 2? +

A: On solving this we will get

Q: Use the functions, f (x) = 2x + 3 and g(x) = –x² + 5x and h(x) = x + 4 to find f (g(h(x))). %3D %3D

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

Q: If f(x) = x + 6 and g(x) = -6, %3D (a) f(g(x)) = (b) g(f(x)) = (c) Thus, g and f are functions.

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Q: f(x) = x - 4x and h + 0, find the following and simplify. (a) f(x + h) = f(x +h) - f(x) (b) Need…

A: Solution

Q: Let f(x) = -3x² and g(x) = 2x – 6. Find and simplify_the following. | g(f(x)) = b. f(g(x)) =

A: f(x)=-3x2, g(x)=2x-6a) g(f(x))=g(-3x2)=2(-3x2)-6=-6x2-6g(f(x))=-6x2-6

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.