For the given functions f(x) = − 9x², g(x) (1) (fog)(x) = (2) (gof)(x) = (3) (ƒ ○ ƒ)(x) = (4) (gog)(x) = = 2x+4, find the following:

Q: For ​f(x)=x+4 and g(x)=5x+5​, find the following functions. a. (f◦g)(x)​; b. (g◦f)(x)​; c.…

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Q: or the function f(x) = x² − 6x³ + 1, find the points of inflection.

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Q: Next For f(x) = x- 3 and g(x) = 5x2 - 3, find the following functions. a. (fo g)(x); b. (go f)(x);…

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Q: [3] If f(2x+3)=4x²-2x+3, find f(x)

A: Firstly put t=2x +3 and find f(t) ,After that replace 't' as 'x'.

Q: For the function f(x) = 3x + 5, what is f(x) when x=3?

A: If fx is a function the value function at x=a is calculated as f3. Consider the given function,…

Q: Use the functions f(x) = 2x² a. (fog)(3) b. (hj)(12) c. (gᵒh)(x) d. (hᵒg)(x) e. (gᵒf)(x) to…

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Q: Use the functions f(x) = 2x² a. (fᵒg)(3) b. (hj)(12) c. (gᵒh)(x) d. (hᵒg)(x) e. (gᵒf)(x) to…

A: "As per policy the first three subparts have been solved, please repost the question mentioning the…

Q: For the function f(x) = x2 + 3? and ℎ ≠ 0, evaluate (f(a + ℎ) − f(a))/h

A: f(x) = x2 + 3

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: For f(x) = 7x-1 + 5, find f -1 (x).

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Q: For ​f(x)=2x−5 and ​g(x)=x2−2​, find the following functions. a. (f◦g)(x)​; b. (g◦f)(x)​; c.…

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Q: For the given functions f(x) (1) (fog)(x) = (2) (gof)(x) = (3) (ƒ ○ f)(x) = (4) (gog)(x) = = 8x + 5,…

A: Let's find all given function.

Q: Given the functions f (x) = 3- x² and g (a) = 2x – 1, calculate (go f) (-2).

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Q: This is the final answer to the problem: (a) f (g(x))= + Domain: + (b) g(f (x)) = + Domain:

A: Topic = Functions The domain of a function is the complete set of possible values of the independent…