Find f(x) and g(x) such that h(x) = (f o g)(x) and g(x) = x +8. h(x) = (/x + 8) * *+*)* f(x) =O

Q: 1. Let f(x) = 2x² + 1 and g(x) = [x]. Find the following. (a). What is (f ○ g)(x) = f(g(x)) = = (b).…

A: We Know that,  Greatest Integer Function is a function that gives the greatest integer less than or…

Q: Let f (x) = x2 - 3 and g(x) = 2x + 1. Find (fg)(2). 2) ***HINT: Start by first finding f (2) and…

A: The given functions are,

Q: Show that f(g)x = x - 5x  Show f(g)x = x

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Q: Define f (x) = 4+ x – x² and g(x) = 5x – 3. Define f(x) - - (f o g)(x) = (go f)(x). True False

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Q: Express the function h(x) 4 in the form h(x) = (ƒ o g)(x) where f(x) # x and g(x) # x. 1+ e0.4x а)…

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Q: The function f: RR defined by f(x) = 5x3 + 3x2-x + 7 is O(x). True False

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Q: If the function f (x) is continuous for all real numbers and if f (x) x²-4 when x + -2, then x+2 f…

A: f(-2) = -4

Q: Let f(x) = 1 - (x + 3) + 2x. Find all values of x for which f(x) is at least 4.

A: Given that, fx=1-x+3+2x Need to evaluate the values of x for which f(x) at least 4 that is fx≥4

Q: Determine a function f such that h(x) = f(g(x)), where g(x) = x + 6, and h(x) = (x+6)¹.

A: given h(x)=f(g(x))f(x)=(x+6)4  g(x)=x+6

Q: Let both f(x) and g(x) be odd functions. If possible, determine whether each function must be even…

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Q: he function f (x) is defined below. What is the end behavior of f(x)? f (x) = 8a® – 64x ³ – 640x? –…

A: Given query is to find the end behaviour of the polynomial.

Q: Describe the long run behavior of f(x) = 2(x + 2) (x + 3) (x + 5): As x → 00, f(x) → ? v As x → 0,…

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Q: Let a, b 0. Find f(100) (a) provided that x³ (a - bx)²* f(x) =

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Q: consider the functions f (x) =5/x and g(x)= x/x+2 A) evaluate and smiplify (f+g)(x) and state the…

A: fx=5x,  gx=xx+2 f+gx=fx+gx f+gx=5x+xx+2 f+gx=5x+2xx+2+x2xx+2 f+gx=5x+2+x2xx+2 f+gx=5x+10+x2xx+2…

Q: Suppose that F(x) is a function such that F"(x) = f(x). Which of the following statements is true? […

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Q: What is the point of intersection for f(x) = 2* and g(x) = A (1,0) (1, )

A: Here we have to find the point of intersection of f(x)=2x ............................... (1)  and…

Q: Define f(x ) = Vx2 +1 and g(x) = 2 – x2. State the domain of (f + g)(x ). x # v2, –v2 - [-1, 00)…

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Q: x²x2 x - 3 ax + b -3 < x < 4 x³ + 4x x ≥ 4 Determine the values of the constants a and b that make…

A: The given function is,The function should be continuous so we can write,

Q: Find In such that: F(x) = x²³-8x²+ 9x +18=0

A: The given polynomial fuction is

Q: f(x) = x+1 x-3

A: Given:  fx=x+1x-3To prove: f(x) is 1-1 we know that, If f(x1) = f(x2) then x1 = x2 therefore f(x) is…