(a) Consider the function g(x) = 9 + |x + 4|. What are the two values of a satisfying g(x) = 12? The two values are and [6marks] 11 (b) Let f(x) = (9 · x + 2) - 4. The inverse function of f is given by = [4marks]

Q: Given the function f(x)= { (1,8), (2,16), (3,24), ( 4,32)}, Find the inverse of f-1(x) = {       }

A:

Q: Evaluate the function when x X = = 2, and - 2. 2 1) f(x) = X x + 3x

A: We can find the answer as below

Q: Find f(a), f(a+h), and the difference quotient for the function given below.

A:

Q: Suppose the functions g and f are defined as follows. h(x) = -5+ 4x2 g (x) = 4 – 9x (ə) Find (4)…

A: Given that, h(x)=-5+4x2 and g(x)=4-9x. Part (a) The value of hg(x) is same as hg(x)=h(x)g(x)…

Q: For f(x) = (a) fog 2 X-9 1 and g(x)=x find the following composite functions and state the domain of…

A: The objective of this question is to find the composite functions g(f(x)), f(f(x)), f(g(x)), and…

Q: If the function is one-to-one, find its inverse. If not, write "not one-to-one." 12) f(x)= 2 X-5 A)…

A:

Q: Assume that the function f is a one-to-one function.  (a) If f(8) = 6, find f -1 (6) (b) If f…

A: (a) Given that f(8)=6.

Q: Consider the following functions.  f(-2)=-1 and g(-2)=2 Find (f+g)(-2)

A: Arithmetic combination of function.