Two piecewise functions are shown below. -3x for x< 2 h(x) : %3D 4x + 1 for x > 2 S x +2 for x <3 g(x) %3D 3 for x > 2 What is the value of 3h(2)+4g(1)?

Q: Find f(3x) if f(x) = 9 – 4x2. f(3x) = = (Simplify your answer.)

A:

Q: Let g(x) = 2x and h(x) =x- 5. Find the following. %3D (g + h) 4 (g + h) (Simplify your answer.)

A: Simplification of function

Q: When f(x) = 6z² + 4z + 1, evaluate f(3) f(3) =

A:

Q: Differentiate the function. f(x) = x6174 + 2x50 – 13x* + 4x – x-6 + n²

A: Derivative of function

Q: Determine the power function that resembles the end behavior of 4 f(x) = -4x*(5 – 3x)*(2r + 7)* ( –…

A: 1. Power function P = axn a ,n= real constant, x is variable. 2. The end behavior of f(x)  means…

Q: Subtract the functions: f(x) - g(x) where f(x) = -3x + 6 and g(x) = 4x - 2 h(x) = f(x) – g(x) =…

A: Solution is given below...

Q: Which function is equivalent tof(x) = -4(x+ 7)² – 6? %3D F.f (x) = -4x2 - 56x - 202 G.f (x) = -4x2 +…

A:

Q: Which function is equivalent to g(x) = x2 + 15x - 54? F g(x) = (x + 9)(x – 6) %3D G g(x) = (x+ 18)(x…

A:

Q: Let f(x) = 2- 4x + 11x. Calculate the following values: %3D f(a) = f(a + h) = f(a + h) - f(a) | for…

A: We use identity  (a+b)2= a2+b2+2ab

Q: Let f(x) = - 9x + 20 and g(x) = x² + 8. Find f(- 5) • g(- 5). f(- 5) • g(- 5) =

A:

Q: Let f(x) = -3x² and g(x) = 2x – 6. Find and simplify_the following. | g(f(x)) = b. f(g(x)) =

A: f(x)=-3x2, g(x)=2x-6a) g(f(x))=g(-3x2)=2(-3x2)-6=-6x2-6g(f(x))=-6x2-6

Q: 2x-3 5. Let f(x) = find 3x+4 Ax as Ax -0

A:

Q: Two functions are shown. f (x) = a2 + 2x - 5 g(x) = 2x + 4 What is (f g)(x)? A 2x + 8x2 + 18x + 20…

A: Topic -functions

Q: 1. Which pair of functions is equivalent? а. fx) -- 8x* - 5х — 3 g(x) = 8x + 5x + 3 c. Ax) = (-óx? +…

A: Explanation of the solution is given below...