Let f = (x²-3)(u(x-7) - u(x-10)), where u is the Heaviside function. Compute f(-8)= f(7) = f(9) = f(10) = f(15) =

Q: Find the requested function and state the domain. 6 (g o f)(x) for f(x) = and g(x) = 2-x 6

A: Given : fx = 6x6gx = 2-x

Q: Let f(x)=9x+8‾‾‾‾‾‾√f(x)=9x+8 and g(x)=x+9g(x)=x+9 be functions from ℝR to ℝR. Find the following.…

A: We will find out the required values.

Q: Evaluate the indicated function for f(x) = x2 + 1 and g(x) (f - 9)(2t) = x - 5. (f – g)(2t) = 41² –…

A: Here, First, evaluate the value of f(2t). Now, evaluate the value of g(2t).

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: Suppose that the functions u and w are defined as follows. u (x) = - 5x-2 w (x) = -x+3 Find the…

A:

Q: Consider the function P(x) = (x – 3)²(x – 9) - The y-intercept is the point The x-intercept(s)…

A: Please refer to the image below

Q: The annual vehicle sales for Toyota and Volkswagen can be modeled by the functions T(t) = 0.103t+…

A: We need to find year when no. of cars will be same.

Q: Let f(x)=x+2x+9f−1(−8)=

A: The given function is

Q: Define f(x ) = – x² and g(x) = 5x – 3. 4+x - - Find the value of (f – 9)(-1).

A: Proceed as shown below...

Q: If f(x+y) =f(x) +f(y) and f (1) =3, find f(2), f(3), and  f(4). Is f(x+y) =f(x) +f(y) for all…

A:

Q: Consider the function f(x) = Ax³ + Bx² + 5x. Find the values of A and B if f'(-2) = -3 and f" (-2) =…

A: f(x)=Ax3+Bx2+5x

Q: Let f(x)=2x+1 and g(x)=2x2-1 a. f(t+1) b. f[g(-2)]

A: Givenf(x)=2x+1 and g(x)=2x2-1