What values of a and b will make the function f continuous at x=2 and x=3? * x2 - 4 if x < 2 x - 2 ax2 - bx +3 f(x) = %3D if 2 3 2x – a +b O a = 1/2; b=1/2 O a=3/4; b=1/2 a=1/2; b=3/4 a=1; b=1

Q: 9. for f(x)=3x-5 and g(x)=3x^2-3, find the following functions  a.(f o g)(x)  b. (g o f)(x) c.(f o…

A: Consider the function, To calculate the (f o g) (x),   Substitute the value of g(x) in function…

Q: Complete the table using domain of {-2, -1, 0, 1, 2} for each function shown. f(x) = 3(2)* %3D x -2…

A: Given, fx =32x  x ={-2,-1,0,1,2}   We have to find the value of fx for the given x.

Q: X-1 44

A: x-1x2-4x-5

Q: Find f(2x+4) for f(x)=1-x^2

A:

Q: True or False.   If f(x) = a * x ^ 3 + b * x ^ 2 + cx + d where a 0, then f has at least one…

A: Given that: f(x)=ax3+bx2+cx+d, a≠0

Q: Complete the table of values for the function f(x)=−1/4x^2   x f(x)=−1/4x^2 −4   −2   0   2   4

A: f(x)=−1/4x^2

Q: 2) If f(x) = , then f() : 2x + 3 6x – 5 SHOW ALL YOUR WORK =

A:

Q: Show that the function f(x) = 2(x^3)-4(x^2)+5x-4 has a zero between x = 1 and x = 2.

A: Please refer to the image below

Q: Suppose f(r)=1+3r^2. Evaluate the function for each of the following values of its argument: 1. with…

A: Find the function by substituting the given arguments.

Q: f(x) = x^3 - 9x^2 - 45x - 27. Find the remaining zeros given that -3 is a zero of f(x). O (-3, -6 +…

A: Given f(x) = x3 - 9x2 - 45x - 27

Q: Differentiate f(x) = (8x³ + 4x )(2x² +5) using product rule.

A:

Q: Let g(x) = x^2 - 3 and h(x) = 2x + 5. Find h(g(x)).

A: topic - composite functions

Q: Find the ain of the composite function f og. dom f(x) = 5x + 20; g(x) = x + 7 %3D

A:

Q: Find f(0), f(-3), f(2x+3) for the function f(x)= -2x^2+x-1.

A:

Q: let f(g(x)) = 8(9 + 3/x^4+2)^7. Find the following functions.  if f(x) = 8x^7 then what is g(x)?…

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Q: Find the function f if it is known that f prime of x= 3x^2 +6x-7 and f(-1)=10.

A: Given: f'x = 3x2 + 6x - 7 and f-1 = 10 To find: fx

Q: of the 7x - 9x-2

A: We have to choose the correct answer from the given options

Q: Evaluate the following: 1. f(-2)= 2. f(-1)= 3. f(5)= f(x) = 2 x² + 2x x + 3 if x -1.

A:

Q: If the point (-1/2, 1) is on the graph of f(x)=a(x-3)^2+50, what is the value of a?

A:

Q: let f(x)=2x^2+1 and g(x)=3x-5. find the following? a. (f*g)(2)=f(g(2))

A: Given function is f(x)=2x^2+1 and g(x)=3x-5.