3. If ƒ(x) = log₂(−(x − 6)) and g(x) = √(x + ²) a) Determine the domain of g(x) + f(x) b) Is there a difference between the domain g(x) + f(x) and f(x)+ g(x)? If yes, state the domain of f(x) + g(x)?

Q: 3) Show that (f o g)(x) = (go f)(x) = x. f (x) = 4 – 3x g(x) = (4 – x)

A:

Q: 2. Which shows that f(x) = 5x² -2 and f-¹(x)=√√2 are inverse functions? O522 -2= *52…

A: If f(x) and f -1(x) are inverse functions then  (f∘f -1)(x)=(f -1∘f)(x)

Q: 9) Given f(x)=x²-2 a) Find an expression for f¹ (f's inverse) b) Graph both f(x) and f¹(x) on the…

A:

Q: Consider the following function: 3x 10z - 17 1 - 10x -1 f(x) = 17 10 2 13 1 a) What is the highest…

A:

Q: If f(x) = x2 - x/ x - 1 and g(x) = x Is it true that f=g?

A: given  f(x)=x2-xx-1g(x)=x

Q: onsider the function F(x)=(2x2-50)/ (x-5). If we require the values of F(x) to be within e…

A: Explanation of the answer is as follows

Q: if h(x)=x2-6, find h-1(x)

A: To find the inverse of the function, use the below steps. Replace h(x) by y, so we get y = x2 - 6

Q: Let f(x) = 6x/x2+3. How do I solve if this is even, odd, or neither?

A: Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. Algebraically, f…

Q: Express the function h(x) = 5log(x² + 6) the form fog. If f(x) = 5log(x), find the function g(x)

A: We can find the function g(x) from the given composite function in the below steps.

Q: 5. If f(x) = (r+ 1)(x-2) x-2 and g(x) = x+1, does f(x) = g(r)? Explain.

A:

Q: Which of these functions is the inverse of f(x) = 4x - 1? O 1/(4x-1) O (1/4)x + (1/4) O (1/4)x -…

A: We have to find

Q: If f(x)=1+x /x, for which value of x does f(x)=5?

A: Given function f(x)=x+1x

Q: Find f(x) and g(x) such that for f(g(x)) = h(x) for a) h(x) = square root of 3^x-87 b)h(x)= 2/ ln…

A: As per our guidelines we are supposed to answer only one question.Since you have asked multiple…