For each of the following pairs f: Z ------- Z and g: Z --------- Z, decide whether f 0 g is onto or one-to-one and justify all negative answers f(x) = 4x - 3, g(x) = 1 - x

Q: Consider the following. 3x2 - 11x - 4 x - 5x2 - 9x + 45 f(x) = (a) State the domain of the function.…

A:

Q: A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was…

A: Which option represents  the amount of water in the second bucket.

Q: Evaluate the following functions at the given values, and simplify the resultant expressions: a) For…

A: As per company guidelines we are supposed to answer maximum three subparts from a question. for…

Q: For what values of k will the function g(x)=x2-kx+9 have only one zero

A: compare this polynomial with the standard form of a polynomial function    so here we have

Q: Given the function ƒ, evaluate ƒ(−1), ƒ (0), ƒ (2), and ƒ (4). ƒ(−1) = Number f(x)= { x²-1 4+x-6| if…

A: The given function is

Q: Let S(x) =  “x is a student at Hostos Community College”; F(x) = “x is a faculty member at Hostos…

A: Given that, Let S(x) =  “x is a student at Hostos Community College”; F(x) = “x is a faculty member…

Q: The function f(x) has been transformed to y = -2f(-x+3)+1, which has resulted in the mapping of (4,…

A: We have to find correct option using given data. Concept required:

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: Let f(x) = x² + 7. Find and simplify: f(x + 6) - f(x) O 12x + 50 O 12x + 36 O 12x O 50 0 36 O 6x +…

A: We can simplify and find the correct answer in the below steps.

Q: On the set of real numbers x2 + y2 = 1 Function. If x is a real number and y is an integer number:…

A:

Q: If f(x) = 2x² - 8 and g(x) = 2x + 1, evaluate f(g(x)) when x = -3 -30 O-19 42 O46 60

A: Given: f(x)=2x2-8 and g(x)=2x+1