For the real-valued functions f(x)=√2x+4 and g(x)=x-1, find the composition fog and specify its domain using interval notation. (fog)(x) = Domain off og O/0 1010 QUO Q (0,0) (0,0) (0,0) (0,0) ∞ -∞

Q: 15. Given the fumctions a(x) = x² + 2x- 1 and b(x), shown on the graph below, find P(x), where P(x)…

A: Given:  a(x)=x2+2x-1. b(x)=x+3. Determine the function P(x).…

Q: Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no…

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Q: Find the domain of f(x)= 7/4-2x

A:

Q: Let f(x)=√√4x + 7. Determine ƒ-¹(x) and the the domain of f-¹(x). ƒ−¹(x) = Domain of f(x) =

A:

Q: Let f(x) = 2x – 3x³ and g(x) = 3/x a. Find (f*g)(1) b. Find (g(f(-1))

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: = x? – 5x + 7 has roots a and B. Use symmetric Suppose that f(x) functions to find a + B, aß, a² +…

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Q: Suppose the functions g and f are defined as follows. h(x) = -5+ 4x2 g (x) = 4 – 9x (ə) Find (4)…

A: Given that, h(x)=-5+4x2 and g(x)=4-9x. Part (a) The value of hg(x) is same as hg(x)=h(x)g(x)…

Q: Assume that the domain of f and f-1 is (-∞, ∞o). Solve the equation for x using the given…

A: Given that the domain of f and  is (a)  ; (b) ;

Q: Let f ( x ) = x^ 2 − 1 and g ( x ) = 3 x. Find ( f ∘ g ) ( x ). group of answers 3x^3 − 3x 3 x^2…

A: Given functions, f(x)=x2-1 and  g(x)=3x