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

A: Given that

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  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: 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.