7. f(x) = x + √√/2x - 3, 3 2 x - 3 x-2' 8. f(x) = g(x) = 3 g(x) = = 3 r2 – 5r+6

Q: Let f(x) = (x-9)7 – 8, determine f¯¹(x). - ƒ¯¹(x) =

A: To find the inverse of the function f(x) = (x - 9)7 - 8, we need to express x in terms of y, where y…

Q: show that 1f ∘ g2 (x) = 1g ∘ f2 (x) = x.

A: Given: fx=1x, gx=1x. To find: f o gx=g o fx=x Solution: Finding f o gx. f o gx=fgx=f1x=11x=x

Q: Xx) = x2, g(x) = x-8

A:

Q: - Find and classify the discontinuities of the function f(x) x2 - 1

A:

Q: Find (a) the domain of  f and (b) f-1 and its domain.   f(x)  = In  (2 + In x)

A:

Q: Let f(x) = 3x – 1 and g(x) = 4 - x. Find all values of x for which f(x) < -1 or g(x) < -2.

A: Consider the function f(x)=3x-1 and g(x)=4-x. To find all values of x for which f(x)&lt;-1 or…

Q: 2 5 Let f (x) and g(x) = x+2° X-3

A:

Q: Let f(x) = 2x – 5 and g(x) = 3 - x. Find all values of x for which f(x) 2 3 or g(x) < 0.

A: Given: fx=2x-5gx=3-x To Find:  All values of x for which fx≥3 or gx&lt;0

Q: Evaluate f(x) ƒ(1) = f(x + 7) = f(x) + f(7) f(x + h) = = = x + 2 at the indicated values.

A:

Q: (f ·g)(x)= f(x) g(x) O True O False

A: we have given (f.g)(x)= f(x) . g(x)

Q: Determine F(x) if, for all real x and y, F(x)F(y) – F(xy) = x + y.   Hint:  What could F(1) be?

A: Consider the provided question, We have to find F(x).

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

A:

Q: 2 Let f(x)=Vx and g(x)=- x-4

A: Given that  f(x)=√x and g(x)=2/(x-4) To find the f of g

Q: Consider two functions f(x) and g(x), and such that fˆ−1 (x) = g(x) Must it also be true that…

A: To explain that if f-1x=gx then g-1x=fx is true or not.

Q: Find all real values of x such that f(x) = 0. (1) f(x) = x -x (i) f(x) = x - x - 5x +5.

A: