Given g(x) = x - x-6, which of the following is true? Og(x) > 0 when a E (-2, 3] O g(x) < 0 when x E (-2, 3) Og(x) <0 when x E [-2, 3] O g(x) > 0 when x E (-2, 3)

Q: f(3) = 2, f(5) = 4, g(2)=5, and g(4) =3. What is the value of g(f(5))?

A: We have to find the value of gf5 where it is given that: f3=2, f5=4, g2=5, g4=3. Here, f5=4…

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

A: Given: fx=1x, gx=1x. To find: f o gx=g o fx=x Solution: Finding f o gx. f o gx=fgx=f1x=11x=x

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

A: We have to find the value

Q: Let f(x)=x+4 and g(x)=x2−x (f+g)(5)=  Simply your answer

A: It is given that fx=x+4 and gx=x2-x.

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: -1), (c) f(0), (d) f(3), and (e) f(5). 3x f(x) = if xs -1 x-2 if x> - 1 (a) (-4) =D

A:

Q: What is the end behavior for this equation? f (x) = - (x+3)² +1 As x-∞, f (x) →→→→→∞, and as →→→∞, f…

A:

Q: If g(x) = 2x + 1 and h(x) = x2  - 2 then  g(h(4)) =

A: The given functions are: gx=2x+1 and hx=x2-2   To calculate the value of gh4.

Q: Let g(x)=x2+6x        and f(x)=4x       Find each of the following.      a)  g(−1)      b)…

A:

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: Find f(g(-5)), if f(x) = „4 and g(x) = (x+ 4)² O -7/9 O -7/3 O 2/9 O 1051/81

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Q: (a) ( (b)( (c) ( (d) ( ) satisfies g(x). ) satisfies g(x). ) satisfies g(-3x). ) satisfies -g(3x).

A:

Q: 1f fC)-3x-4 -ndg)=2びナx, find slfk)

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Q: If g(x) = 1 - x and h(x) is: = 第二,then g(h(x)) h(g(x))

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Q: Find (f1) (3) if f(x) = x³ + x + 1. 3 (f-1) (3) = (Simplify your answer.)

A:

Q: Match expressions to the boxes

A: According to the question, r denotes the rate or speed of Hoppertunity. We know that Dortmund runs…

Q: If f(x) = (x - 3)/ (x - 2), in what value of x makes f(x) undefined?

A: Given: f(x) = (x-3)(x-2) We know that a rational expression is undefined when the denominator is…