Given  f(x) = 2x2 + 1  and  g(x) = 5x − 8,  find the following. (a)     f(g(2))       (b)     f(g(x))       (c)     g(f(x))       (d)     (g ∘ g)(x)       (e)     (f ∘ f)(−2)

Q: Let f(x) = 5x 2 and g(x) = 2x² - 9x + 6. (a) Find (f. g)(x). (b) Find (g. f)(x).

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Q: If f(x) = −x2 − x − 4, find f(−4), f(0), and f(6)

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

Q: =an" on an open interval I that contains the origin. Express the following as a simplified Suppose y…

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Q: With f(x) = 4 – 3x and g(x) = 2x2 – 3x + 1, find: a) f(5) b) g(-2) c) f(4 – 2y) d) g(x + 4)

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Q: Given the two functions f(x) = 5x + 6 and g(x) = 3x2 − 4x + 8 Find: (d) (f/g)(x) (e) (f ∘ g)(x)…

A: Given functions are: fx=5x+6 and gx=3x2-4x+8 Answer (d): Therefore,  f/gx=fxgx So,…

Q: If f(x) = x2 + 4x − 7, what is f(7)?   f(7) =

A: Given that f(x) = x2 + 4x − 7 To find f(7) we have to put x = 7 in the above equation.

Q: Given the functions f (x) = 3x - x.g(x) =7,h(x) = 9z, find gof(z) O gof(x) = 3-7 O gof (x) = () (322…

A: Composite function is a function in which there are more than one function and value of one function…

Q: Given  f(x) = 2x2 + 1  and  g(x) = 4x − 5,  find the following. (a)     f(g(2))       (b)…

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: Given  f(x) = 2x2 + 1  and  g(x) = 4x − 5,  find the following. (a)     f(g(2))       (b)…

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Q: If f (x) = x² +8x, what is the value of f(6)?

A: From the given problem:   fx=23x2+8x   →f6=? means at x=6 fx=? So, f6=2362+86

Q: Consider the initial value problem +. (0) a. Form the complementary solution to the homogeneous…

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Q: Given that f(x) = 3x+2 and g(x) =x2 - 2x - 4, find (g o f)(5). (g o f)(5) = (Simplify your answer.)

A: Consider the given functions as below; Known fact; Calculat the value of f at the point x=5 as…

Q: Given f(x)=x²+1 and g(x)=3-4, find 9.(g-f)(x) b. (fg)(x) C-(fog)(x) d. (gof)(x)

A: As per Bartleby rules we have to answer only first three questions.

Q: f(x) = 5x + 2, g(x) = 3x - 4.Find: a. (f ∘ g)(x)   b. (g ∘ f)(x)   c. (f ∘ g)(2)   d. (g ∘ f)(2).

A: We have to find: a f∘gxb g∘fxc f∘g2d g∘f2 when, fx=5x+2gx=3x-4 We have to find composition of…

Q: If f(x) = (2x + B) / (x - 3) and f(5) = 8, what is the value of B?

A: Given that f(x)=2x+Bx-3 Need to find the value of B.

Q: If f(x)= 2x- 1 and g(x)= 3x + 5, what is f(g(5))?

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Q: Given f(x) = 5x + 6 and g(x) = 2x2 - x - 1, find (f ∘ g)(-1).

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.