Given fi (x) = , f2 (x) = –, f3 (x) = x, f4 (x) = (x+2)² x+2 ' 2x Find: f (x) = as a sum or difference of the functions above. (x+2)? O f(x) = (f1 + f3) (x) O f (x) = (f1 - f2) (x) O f(x) = (f4 – fi) (x) O f (x) = (f1 + f2)(x)

Q: If f (x) = x3 + x2 - x - 1, find f (1), f (-1), f (12 ), and f (a).

A: We have given  fx=x3+x2-x-1

Q: Let h(x) = x³ - 2x + 3 and find the value. h(-1)

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Q: Evaluate the function for fx) = x + 3 and g(x) = x2 – 2. (fg)(8) (fg)(8) =

A: The functions f(x)=x+3 and g(x)=x2-2. We have to find fg8=?

Q: Let f(x) = x2 + 2 and g(x) = 2x - 3. Evaluate (fo g)(x). (fo g)(x) =| (Simplify your answer.)

A: (fog)(x)= f(g(x)) f(x) = x^2 + 2  g(x) = 2x - 3

Q: Show that: fdx = f(x), where f(x) = x³ x³ + 3x +3

A: Introduction Differentiate is utilized to investigate the little variation of one variable in…

Q: if f(x-1)= x- 16x+3 It Find (x+)

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Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: If f(x) = 2×, show that f(x + h) – f(x) = 2×( 2" -1). h Simplify your answers completely at each…

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Q: Suppose f(x): = f-¹(x) 4 10x +9

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Q: Evaluate the indicated function for f(x) = 6x +3 and g(x) = 5x² − 1 a. (f + g)(3) b. (fg)(0)

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Q: Let f(x) =-3x+4 and g(x) =-x² +4x+1. Find and simplify each of the following. (5) f(-x) (6) gt-)

A: In function  f(x) ,X replace by -x and function g(x),x replace by -1/4.

Q: (2022) , find feua (0) (1-x3 2x given f(x) 2

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Q: Find f1(3) when f(x) = ∛(x2 - 1)

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Q: If f(x)=(3x-a)/(5x-b), for any real number a and b. If f(0)=0 and f(1) is 3, what is f(3/6)?

A: Observe that to solve equations containing n unknown variables, we need at least n equations, hence…

Q: let f(x) = 7/x+5  find the difference quotient in the form f(x)-f(a) / x-a and simplify your answer…

A: Given, fx = 7x+5  We have to find difference quotient fx-fax-a