For the given functions, find (f o g)(x). f(x) = 5x + 1, g(x) = Vx (fo g)(x) =

Q: Use the pair of functions to find f (g(x)) and g (f (x)). Simplify your answers. f (x) = Va + 2, g…

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Q: Let ​f(x)=4x−1 and ​g(x)=x2+ 5.   Find ​(f◦​g)(0​).

A: Composition of function is found by plugging the inner function in place of variable of the outer…

Q: Find f'(x) for the following function: 6 + 4 x + 1 f(x) f- (x) = |

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Q: Define f(x) = 6x + 7. If it is known that f(c) = -2, find the value of c.

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Q: Let f(x) = 3x - 1 and g(x) = x? + 2. Find (fo g)(7). (fo g)(7) =

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Q: Given the one-to-one function defined by f(x) = Vx – 4 + 1- write an equation for f -1(x).

A: The given one-to-one function is To find the inverse of f(x), replace f(x) by y. Now interchange…

Q: Given f(x) = x + 2x + 1 and g(x) = x2. Find f [g(x)].

A: Given   f(x)= x^2 + 2x + 1 and  g(x) = x2.  Now we Will evaluate f(g(X)) as shown below

Q: Consider the functions f (x) = 5x + 3 and g(x) = v8 – 2x. Find the domain of (gof)(x). %3D

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Q: Given f (x) = x/(x2 - 4), find and simplify f (3x).

A: given, f(x)=x(x2-4)

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

A: f(x) = x2 + 3

Q: If f(x) = V15x, find f (x). Find f (3).

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Q: Given f(x) = Vx – 2, write an equation forf -1(x).

A: Steps to find inverse of f(x) 1. Put f(x) equal toy 2. Replace every x with y and y with x. 3. Solve…