4. Determine if the function is discontinuous. What type of discontinuity is it? (3-x if x < 2 (a) f(x) = x²-2x-3 x-3 5 if x # 3 if x = 3 (b) f(x) = 2 if x = 2 if x > 2

Q: Write the function in its final position. f(x)= x³ first moved 2 units downward, then 3 units to the…

A: The objective is to write the function in its final position.

Q: Suppose the functions g and f are defined as follows. h(x) = -5+ 4x2 g (x) = 4 – 9x (ə) Find (4)…

A: Given that, h(x)=-5+4x2 and g(x)=4-9x. Part (a) The value of hg(x) is same as hg(x)=h(x)g(x)…

Q: Is the point (1, -2) on the graph of the function k(x) = x2 + (2&gt;x)?

A: Given, k(x) = x2 + (2/x) To check Is the point (1, -2) on the graph of the function

Q: Determine the domain of each function. x2 - 25 x² - 4 79. f(x) 80. f(x) x - 5 x + 2 x3 x* + 7 81.…

A: To find the domain: f(x)=x2-25x-5. Solution: We know, a rational function is defined for all real…

Q: 3. Give the function, f(x)=x²+5x-24 Find f(0) a. ut b. Find f(-1) Find f(-3) C.

A: Since you have asked more than one question. So as per guidelines I have done first one for you. If…

Q: Find f(-3), given x-2 げrs -1 f(x)3D| 3x+1 げェ>-1)

A: We need to find out f(-3) here x=-3 that means x≤-1.

Q: Give one way to restrict the domain of the function f (x) = X4-2to make the resulting function…

A: Given function is: fx=x4-2fx=x2

Q: Suppose the coordinate (2, -4) is on the function k(x). If h(x) = k(x + 10) + 5, when k (x) is…

A:

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

A: Given:  fx=x+1x-3To prove: f(x) is 1-1 we know that, If f(x1) = f(x2) then x1 = x2 therefore f(x) is…

Q: Let f(x) = 8x+13 and g(x) = x2 - 5x. Find the following. Give the domain of each using interva %3D…

A:

Q: Graph both functions on one set of axes. f(x) = (2)* and g(x) = 1.5x ↓↓ 4 g -4 2 -2 y 6 2 y 6 4 2 f…

A:

Q: Is the function h(x)=-|x-4| +3 a one -one function?

A: This is an absolute value function , so for two values of x we will find same value of y.