Question a. If g(x) is any (nonzero) odd function of x, determine whether the following functions, f(x) = 42 sin(g(x)), f(x)= 5x³g(x), are even, odd functions of x, or none of these. b. Find the values of a and b such that the function. I f(x) = (g(x) + 1)² h(x) = 3ae* + 12e¯* + b is an even function of x and its curve, y = h(x), passes through the point (0,17). Remember to show full working.

Q: For the given functions, find (f o g)(x) and (g o f)(x) and the domain of each. 7. 1 f(X) = g(x) =…

A: Explanation of the answer is as follows

Q: Q.5 Determine whether f and g are inverse functions when f(x)=Vx-2 and 8(x)=x² +2

A: Given function,y=f(x)=x-23g(x)=x3+2

Q: Determine if the following functions are odd, even, or neither. Provide reason. (a) f(x) = x² (b)…

A:

Q: a. Find the inverse of the function below on the given interval and write it in the form y=f'(x). b.…

A:

Q: Which of the following functions is not even? f(x)=√x² - 1 1 f(x) = ₁ 1 + x² f(x) = cosecx f(x) =…

A: Functions :

Q: Find the simplest functions f and g for which (fo g) (z) = tan (22 + 6). There may be more than one…

A: We need to find f(x) and g(x).

Q: Which of the following functions is an even function? 2 II O f(x) = 5 csc(4x + 平) 3 2 II O f (x) = 5…

A:

Q: Find each of the following functions and their domains. f(x) = x / 8+x g(x) = sin(4x) g ∘ g =

A:

Q: One of the following functions is one – to - one: O a. f(x) = x²-6x+2 O b. f(x)= sinx Oc. fx) = x³–…

A:

Q: To express Q(x) = sin(6x + 1) as the composition of three functions, identify f, g, and h so that…

A: