Suppose that the functions g and h are defined for all real numbers x as follows. g (x)= 4x+4 h (x)= 3x Write the expressions for (g+h) (x) and (g-h) (x) and evaluate (g-h)(4). (8 + h)(x) = [| (8 - h) (x) = D (8.h) (4) = [ %3D

Q: Find the following. f(x) = 8x – 5, g(x) = 4 – x (a) (f + g)(x) = (b) (f – g)(x) = (c) (fg)(x) = (d)…

A: we have f(x)=8x-5   and g(x)=4-x (a) (f+g)(x)=(8x-5)+(4-x) (f+g)(x)=7x-1   (b)…

Q: Suppose that the functions g and h are defined for all real numbers x as follows. g(x) = 3x+4…

A:

Q: The functions f and g defined by F(x) =-2÷[|3x-9|] G(x)=x^2 + 9 -[ square root( x+4)÷8]-4…

A: Given:   To determine: The domains of both functions

Q: Consider the following. 4x A(x) x2 - 3x - 4 (a) State the domain of the function. O all real numbers…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: For each year, t, the population of a forest of trees, call it Forest A, is represented by the…

A: A(t)=85(1.026)t B(t)=113(1.021)t C(t)=123+(2.3)t

Q: Consider the following functions. f(x)  =  7x + 42 g(x)  =  x2 − 3x − 54   (a) Find (f/g) (x) and…

A: We have the following function- f(x) = 7x + 42 g(x) = x2 − 3x − 54 We know that fg(x) = f(x)g(x)

Q: Find the largest possible domain of each of the following function. 2x4 + 5x3 + 14x² + 11x – - 27…

A:

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: Let f(x) =(10x + 15) and g(x) = - (8 – 12x). Find all - 9 values of x for which g(x) = f(x).

A: Since f(x)=25(10x+15) and g(x)=14(8-12x)Our Aim is to find the value of x for which g(x)≤f(x).

Q: Evaluate the difference quotient for the following function. f(x) = 4x²-x First, find f(x + h) −…

A: