1. [K] Given the following functions, evaluate each function using proper notation. Show your work. f(x) = x – 5x + 3 g(x) 2(х — 9)* + 1 h(x) = 5x - 2 - %3D а. д(6) b. f(3п) с. Зд(4) + h(5) d. h (x) = 38

Q: For ​f(x)=x+4 and g(x)=5x+5​, find the following functions. a. (f◦g)(x)​; b. (g◦f)(x)​; c.…

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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: For the function f(x)=x²-9, evaluate f(x + h). 2 f(x + h) = | 21

A: Given, f(x)=x2-9

Q: For an electric car, the number of miles that can be driven powered by only batteries depends on the…

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: Let s(t) = 81 + 3t + 100 be the position, in miles, of a car driving on a straight road at time t,…

A: Given that, position= s(t)=8t2+3t+100 at time t. velocity=v(t)=16t+3 at time t. (a) Then using…

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: What is the domain of the following function?

A: Given f(x,y) =4-x2-y2 - ln(y-x) + sin(x)Let g(x,y) =4-x2-y2 h(x,y)= ln(y-x) and t(x)=sin(x)

Q: For f (x) = x² + 6 and g(x) = V1 – x find the following values. a. (f + g)(x)

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Q: Find the domain of the function : h(x) =4/[(3/x) - 1]

A: Find the domain of the function : h(x) =4/[(3/x) - 1]

Q: Find the X-values of all points of inflection for the function f(x) = – x* + 6x³. O A. X = - 3 only…

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Q: Find the domain of the following function. f(x.y) = /80 - 5x2 - 5y? Select the correct choice below…

A: Please find the answer in the next step. Note that domain is where function is defined.

Q: 2. Evaluate the function f (x) = x² - 3x + 12 at the following values or (a) f(-5) expressions. (b)…

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Q: (5 g(x) = (2x - 3 if x 2 b. g(0) a. g(-3) C. g(2) d. g(3) e. g(5)

A: Here we have to evaluate the given function

Q: Find the zeros of Q(x) = 5x - x² + 9 using the quadratic formula. Number of zeros: one

A: Given Quadratic formula is Q(x)=-x2+5x+9 Compare to ax2+bx+c=0 Here a=-1, b=5 and c=9.

Q: Solve the following differential equation: yde+xdy 1-x²y² +ædr=0. = constant.

A: Given that the differential equation ydx+xdy1-x2y2+x dx=0