Given the graphs of f(x) and g(z) below, determine the value of the expressions below. y= fx) y = g(x) a. Lr-2 [2f(x) +3] g(x) b. lim

Q: Given f(x) = 3x – 5, a. Find f(x + h). f(x + h) – f(x) b. Find the difference quotient, h

A: Given: fx=3x-5 For finding fx+h, we put x+h in place of x in given expression

Q: Let f(x) = 3x – 8 and g(x) = x + 2. Find the value of each of the following a. (f + g)(-5) f(2) b.…

A: Put the values in functions and determine the final values

Q: 1. For the function f(x) = 3x² - 5x +7 find: a. f(-2) %3D b. f(-a)

A: Please see the below picture for detailed solution.

Q: Write the function as a composition of two functions. y = (8x + 7) 4 For f(g(x)], g(x)=

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Q: Evaluate the indicated function for f(x) = 6x +3 and g(x) = 5x² − 1 a. (f + g)(3) b. (fg)(0)

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Q: Example 1.7.1o. Identify the parent function of h(x) = -(r+4)2 + 1, then graph the function.

A: Given:- h(x)= -(x+4)2+1 The Vertex of an up-down facing parabola of the form y=ax2+bx+c is xv=-b2a

Q: Given f(x) = 3x2 – 24x + 15, a. Write f(x) in standard form. b. What is the axis of symmetry of…

A: Given query is to write the standard form and find symmetry.

Q: Use the graph of y = f(x) shown to the right to graph the following function g. y=f(x), Ay 1 g(x) =…

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Q: For what values of a and b the point (−1,2) is an inflection point of the graph of the function…

A: As (2,-1) is a point of inflection, it must satisfy the equation of function. Substitute x=-1 and…