19 + 8x Given f (x) = - . Answer the following questions. V16x² – 25 (a) Find the domain of f. (b) Give two functions p(x) and q(x) such that (p • q)(x) = f(x). Show the process in verifying the identified functions. (Note: Do not use p(x) = x or q(x) = x.)

Q: The function f is defined by f(x) = 2x +1. Find f(5x). f(5x) = 0

A: We can find f(5x) as below.

Q: Find the domain of the following functions a. f(x) = Vx2 - 16 + V36 - x2 1 b. f(x) 2x2+5x-3

A: Domain of the function

Q: Evaluate the indicated function for f(x) = x2 + 1 and g(x) (f - 9)(2t) = x - 5. (f – g)(2t) = 41² –…

A: Here, First, evaluate the value of f(2t). Now, evaluate the value of g(2t).

Q: When f(x) = 8a? – x – 3, evaluate f( – 4) f( – 4) =

A:

Q: Let f(x) = 1- 8x + 4x². Calculate the following values: f(a)= 4a²-8a+1 f(a+h) = 4a²+ Sah+ 4h²-8a-8h…

A: To find the value of difference quotient.

Q: 4x +3 Q10: Let f(x)= x+2 Show that f(x) is 1-1 function. Find D,, R,, and f(x).

A:

Q: Let f(x) = x + 9x and g(x) = 5-x. () Find (x) and (2).

A:

Q: Find f(x) and g(x) such that h(x) = (fog)(x). 4 h(x) = (6x+3)* Choose the correct pair of functions.…

A:

Q: Let f(x) = 3x + 2 and g(x) = 5x – 8. Find all values of x for which f(x) > g(x).

A: f(x)=3x+2  ,  g(x)=5x-8

Q: Define f (x) = 4+x – x² and g(x) = 5x 3. - Find the value of (go f)(3). o f)(3).

A:

Q: Let f(x) = 2x - 9 and g(x) = for which f(x) > g(x). = 5x + 4. Find all values of x

A: given: fx=2x-9g(x)=5x+4 we have to find all values of x for which f(x)>g(x)

Q: Let f(x) = - 4x+ 15 and g(x) =x² +14. Find f(5)- g(5). (5) - g(5) =|

A: Given that: f(x)=-4x+15g(x)=x2+14

Q: Given the functions f(x) = 4x + 10 and g(x) = √√x + 2, what is the value of a for which f(g(a)) = 10…

A:

Q: Define f(x ) = – x² and g(x) = 5x – 3. 4+x - - Find the value of (f – 9)(-1).

A: Proceed as shown below...

Q: 2² – 7x + 12 Explain why f(x) = x – 4 is not the identical function of g(x) :

A:

Q: Use f(x) = 2x - 8 and g(x) = 4-x´ to evaluate fAg(-1)). %3D Find f (g (x)) for f (x) = 7x + 7 and…

A:

Q: Define f (x) = 4 + x – x² and g(x) = 5x 3. %3D - - Find the value of (f•g)(-1).

A: Explained below..

Q: Let f(x) = 5x2-3x and g(x)=6x+5. Find f[g(k)]. f[g(k)]= (Type an expression using k as the…

A:

Q: Evaluate the function for f(x) = x + 3 and g(x) = x2 – 2. (f + g)(-8) (f + g)(-8) = Need Help? Read…

A: f(x) = x+3  g(x) = x2 - 2