1) f(t) = t & g(t) = √t-1; Find the domains and ranges of (f. g. f+g, and f.g) 2) If f(x) = x-5 and g(x) = x² + 3; Find the following: [g(f(x)), g(g(x)), f(f(2)), g(g(-5))] 3) Give an equation for the shifted graph. Then sketch the original and shifted graphs together, labeling each graph with its equation. 1) y = -√x; Right 6 II) y = (x + 1) + 5; Down 5 and right 1

Q: Find the domain of the function g(x) =√(x - 2)/(x - 5)

A: We can not have negative number inside the square root. x-2≥0 So, x≥2

Q: Let f(x) = 6x + 12 and g(x) = x² – 4. - Find the domain of the following fur (a) (g - f)(x) domain…

A:

Q: 1) Find the natural domain for the following: x +6 f(x) = 8- Vx2 - 25

A:

Q: 1) f(x) = 5x and g(x) = x - 3, find f(2) + g(1)

A: Please see the below picture for detailed solution.

Q: If f(4)=2 then f-1 (2)=?

A: Given, f(4)=2-------(1) We have  f(a) = b => a=f-1(b) -------(2)

Q: Given f(x)=x²-1 and g(x) = √2x + 2 Which of the following have the same domain? Select all that…

A:

Q: Suppose f(x): = f-¹(x) 4 10x +9

A:

Q: If f(x+y) =f(x) +f(y) and f (1) =3, find f(2), f(3), and  f(4). Is f(x+y) =f(x) +f(y) for all…

A:

Q: Let f(x) -x² + x. Let g(x) = 6x - 4. Find the following: (a) f(5) + g(5) = 56 (b) f(6) g(6) = 1344…

A: The given functions are f(x)=-x2+x,g(x)=6x-4 We have to find the a) f(5)+g(5)b) f(6).g(6)c)…

Q: Use f(x) = 2x - 8 and g(x) = 4-x´ to evaluate fAg(-1)). %3D Find f (g (x)) for f (x) = 7x + 7 and…

A:

Q: function f(x) = 4x +4>

A:

Q: Find a symbolic representation for f-1(x) f(x)=6x3+3

A:

Q: If f(x)=(3x-a)/(5x-b), for any real number a and b. If f(0)=0 and f(1) is 3, what is f(3/6)?

A: Observe that to solve equations containing n unknown variables, we need at least n equations, hence…