8a. Consider the function h(x) = V2x – 1. Find functions f (x) and g(x) so that f(g(x)) = h(x). %3D |- %3D f(x) = g(x) = 8b. Solve the following equation: 5x – 2(-x + 1) = -x + 8 %3D 3

Q: Find the domain of f(x) = Vx + 3 + Vx - 1.

A: Given that the function f(x) = x+3 +x-1 To find the domain of f(x).

Q: Given that f(x) = x² 5x and g(x) = x – 4, calculate %3D - (a) fo g(- 4)= (b) g o f( – 4)= > Next…

A:

Q: F(- 2) : (- 1) = F(0) F(1) (2) = %3D %3D

A:

Q: Y= f(x)+5

A: Explanation and solution is given below....

Q: Let R (x) and C (x) be the cost and revenue functions of a company, where R and Care given in…

A:

Q: Consider the functions f (x) = 5x + 3 and g(x) = v8 – 2x. Find the domain of (gof)(x). %3D

A:

Q: Let f(x) = 8 – 5x + 11x. Calculate the following values: %3D f(a) = f(a + h) = f(a + h) – f(a) for h…

A:

Q: Find the x-coordinate of the point where the function f(x) = x5 5 - x4 7x3 13x² + - 6x 4 3 2 has a…

A: Given Find first derivative f'(x).Now equate f'(x) = 0.The x-coordinates of the stationary points…

Q: Find  f −1(x)  for the function. f(x) =  x x + 4 f −1(x) =

A:

Q: The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately…

A: Given, R(x)= 520x-0.02x² Taking first derivative for marginal revenue function we have, R'(x)=…

Q: Given the function f(x) = 4x² – 7x + 1. Calculate the following values: f(– 2) = f(– 1) = | f(0) =…

A:

Q: A botanist is interested in flower growth around the fields of her house. She finds the flower…

A: Growth function is given by G(x) = 20 -3xIn the graph, G(x) will be on y-axis and minutes will be on…

Q: Given the function f(x) = 6x² + 2x − 1. Calculate the following values: f(0) = f(2) = = f(-2) = f(x…

A: Step 1: Step 2: Step 3: Step 4: