4. Find range of the following real functionsf: R R. Should clearly specify the interval. For example, given f(x) = x2, the range should be writen as {r |1 2 0}. (a) f(x) = = 3x +1 (b) f(x) = 5 – x2 Find the inverse fiunctions of these real functions

Q: Find f(-1) + f(4), given the function: 14 11 04 13 x² + 1, if x 1

A: Topic = Functions

Q: Evaluate  f(−7), f(0), and f(3)  for the piecewise defined function. f(x) =    x + 2     if x < 0…

A:

Q: Find the x-value(s) of the vertical asymp- tote(s) for the function. If there is more than one…

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: Give two points, as ordered pairs, that are not in the domain of this function.

A: Domain: A set of values for which the function is defined is called Domain of the function. So the…

Q: Consider the following functions. f(x) = 8x – 7, g(x) = - Find (fo g)(x). Find the domain of (f o…

A:

Q: ider the ns. f(x) = x2, g(x) = x + 8 Find (fo g)(x). Find the domain of (fo g)(x). (Enter your…

A:

Q: For function one to one function f(x) if the domain D=(-♾️ , ♾️) and range is R = (-♾️ , 3]. What…

A: According to question,Given One to One function,Domain D =-∞, ∞Range R = (-∞, 3]

Q: Find and sketch the domain for the function. f(x.y) = / (x² - 16) (y² -9)

A:

Q: Consider the function -4, I 6, z+5, -6 <z< -4, f(z) = . 4, -4 <z< 5, -2z + 11, 5<z < 6, and answer…

A:

Q: Let the function f be defined by f(x) = 9-x². If the domain of the function f(x) is D= [-3, 2], what…

A:

Q: g(x) = x2 + 2x – 2 I

A:

Q: Consider the compound function:             (x - 2)3 for x less than or equal to 2 h(x) =  |x| for…

A:

Q: Find f+g and fg for the functions f and g given as; f (x) =x² + 1 and g(x) =x + 2, are functions…

A: From the given problem:   fx=x2+1 ; gx=x+2   So,   f+gx=fx+gx=x2+1+x+2=x2+x+3 Hence, f+g=x2+x+3.

Q: Find the domain of the following function. (x – 6) (x – 4) f(x) = x + 4 If the domain contains more…

A: Given function is fx=x-6x-4x+4=x-6x-4x+4 the denominator of the function becomes zero when,…

Q: The cost C in dollars of manufacturing x bicycles at a production plant is given by the function…

A: topic- application of derivatives

Q: Locate and classify the discontinuities of f when f(x) = 5x² - 19x - 4 12+x-x² jump dis. x = -4,…

A:

Q: Make a table of values for f(x) = x² - 4 showing function values for x = 4, 6, 8,.... f(x) x 4 6 8…

A: