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: 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: Add the given functions (f+g)(x) f(×)=7×-8 and g(x)=-11×-3

A: Given that

Q: Find (f o g)(1), (g o f)(1), (f o g)(x) and (g o f)(x). f(x) = x + 12; g(x) = 1/x2 (fo g)(1) =…

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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: 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: For f(x) = (x − 1)3 and g(x) = 1 − 4x,

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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.