3. Let f : R → R and g : R → R be defined by f(x) = 3x + 5 and g(x) = x² + 7. Find the composition functions gof and f o g.

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Q: 1. Given the functions, f(x) = and, g(x) a. Find fAg(4)). VT. = Vx. b. Find (g(x)). %3D %3D x+5 c.…

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Q: A function is defined by z = x2y - xy2. Identify the independent and dependent variables.

A: Given function is

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Q: The function f is given below. Find f1(x). 2x-4 f(z) = %3D x-5

A: to find an inverse function, interchange variables, and solve for y

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Q: Let g be the function g(x)=x²-x. Find g(-a). O None of these. O-a² + a O a² +1 O-a²-a O a² + a O…

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Q: Let f(x) = /1– x and g(x) = . Determine the following composition and its domain. g° g

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Q: Let f(x) = x²-1 and g(x)= V15 – a Find the the natural domain o the function gof(x)

A: we have to find domain

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Q: Find all real zeros of the function. f(x)=-3(x-4)²(x+7)³ If there is more than one answer, separate…

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Q: 3. Show algebraically that the function f (x) x* – - 2x + 5 has even, odd or neither symmetry.

A: To find out that the function has even, odd or neither of these symmetry.

Q: Let f(x) a) f(a) = g(a) = 3x + 1. and g(x) = 2x. Determine values for a such that b) f(a²) = g(2a)

A: Given: fx=3x+1 and gx=2-x. We have to determine the value for a such that a fa=ga, b fa2=g2a.

Q: The function f and g are defined as follows. A. -3 or f(x)%= In(x+1), x>-1 8(x)=x² +2x , x>-1 B. -3…

A: Solved below

Q: Make a table of values for f(x)=x²- 4 showing function values for x = 4, 6, 8,....

A: It is given that the function is fx=x2-4. We have to find the value of this function at different…

Q: A function f is defined by f(x) = X ‚ x # 2. Find f¯1 (-3) 2¹ x-2

A: Since, a function f is defined by f(x)=xx-2-(i), x≠2.Our Aim is to find the value of f-1(-3)=?

Q: Express the function F in the form fo g. (Enter your answers as a comma-separated list. Use…

A: given fog(x) = F(x) = x+8

Q: F(x) = f ∘ g ∘ h. Identify functions for f, g, and h. F(x) = √(2x − 2)

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