72. Write the given function h(x) as a composite of two functions f and g so that h(x) = (fog)(x). h(x) = √2x²-x+2 a. b. C. O d. f(x) = 2x²-x + 2; g(x) = √x f(x) = √2x² + 2; g(x) = √-x f(x) = √x; g(x) = 2x² - x + 2 f(x) = √=x; g(x) = √2x² + 2

Q: Find the requested function and state the domain. 6 (g o f)(x) for f(x) = and g(x) = 2-x 6

A: Given : fx = 6x6gx = 2-x

Q: Show that the function f (x) = (2x2 + 3)3/2 is decreasing for x 6 0 and increasing for x 7 0.

A: Given: f(x)=(2x2+3)32

Q: Use f(x) = 5x – 3 and g(x) = 4 – x2 to evaluate the expression. (a) (fo n(-1) (b) (g o g)(-1)

A:

Q: 1. f(x) = x 3x-1

A: Domain of a function is defined as the values of x for which the function is defined.

Q: Can a function such as f (x) = 53x be written in the form f (x) = bx? If so, what is b?

A: Comparison of the functions helps to determine the validity of the statement. The given function is…

Q: Evaluate the following: 1. f(-8)= 2. f(-1)= 3. f(3) = f(x) = x² + 2x x + 8 if x -1.

A: Given: f(x)=x2+2x  if x≤-1x+8      if x>-1

Q: Sketch the function f(x) = 2x(x + 3)²(x-4) -3-2 3

A: The given function .We have to sketch a graph of the function.

Q: Is the function g(x) = x2 one-to-one?

A: Take x=2. g(2)=22=4. Take x=-2. g(-2)=(-2)2=4

Q: Show that the function f (x) = -x3 + 2x2 - 6x + 3 is always decreasing.

A:

Q: Suppose we have two functions. One is P(t) , which models the number of photographers entering the…

A: (a) The function P(F(x)) would not make any sense because F(x) s the function  and it will give…

Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, => f-1(y)=x

Q: 2. Evaluate the function f (x) = x² - 3x + 12 at the following values or (a) f(-5) expressions. (b)…

A: