Suppose f(x) = 4x + 1. Determine, in a simplified form, each of the following: (a) f(a) = (b) f(a+h): (c) = f(a+h)-f(a) h =

Q: Use the function f(x) = -3a? + 7æ + 7 to compute and expand and simplify the following. a. f(-2) =…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Given the function f(x) = - 2x? + 5x + 4, evaluate and simplify the following expressions: a. f(r +…

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Q: Use the functions f(x) = -3x – 14 and g(x) = 2x2 + 5x – 7 to evaluate the following: a. f(8) = b.…

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Q: For f(x) = 7x +4 and g(x) = x, find the following composite functions and state the domain of each.…

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Q: For f(x) = (a) fog 2 X-9 1 and g(x)=x find the following composite functions and state the domain of…

A: The objective of this question is to find the composite functions g(f(x)), f(f(x)), f(g(x)), and…

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: For g(x) = x² - 5x – 3, evaluate and simplify the following expressions. (a) g(x) – g(4) = %3D (b)…

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Q: 5 and g(X) = 3X the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo g)(- 1); d. (go f)(- 1)

A: Given: fx=x-5 gx=3x2-1 a) f∘gx is given as, f∘gx=fgx               =f3x2-1               =3x2-1-5…

Q: Use f(x) = 3x-4 and g(x)=5-2x² to evaluate the expressions in simplified form: a. (fog(x) b. (g•x)

A: Given functions: fx=3x-4gx=5-2x2

Q: Use f(x) = 6x2 and g(x)= x -6 divided by 2 to evaluate the expression A. (f x g)(4)=…

A: Here given that , fx=6x2gx=x-62 Thus, the function f×gx is given by,…