2. Given the graphs of f(x) and g(x) as shown, find: ✓✓✓✓ a) f(g(0)) b) f(g(2)) 67. -20 -2-

Q: Use the graph of f(x) = √x to obtain the graph of g(x) = √(x - 4)

A: We first graph the parent function  f(x) = √x

Q: Let f(x) = 6x + 12 and g(x) = x² – 4. - Find the domain of the following fur (a) (g - f)(x) domain…

A:

Q: Define f (x) = 4+ x – x² and g(x) = 5x – 3. Define f(x) - - (f o g)(x) = (go f)(x). True False

A:

Q: 9) Given f(x)=x²-2 a) Find an expression for f¹ (f's inverse) b) Graph both f(x) and f¹(x) on the…

A:

Q: 1. Let f(x) = x? – 1 and g(x) = x² +x – 6. (a) Find (f – 9)(x) (b) Find (x) and give its domain. (c)…

A: R is the set of all real numbers

Q: Let g(x)=31-x. Compute: a) g(2.3) b) g(2) c) g(-1)

A: Given that

Q: Use the graph of y = f(x) to graph the given function g: g(x) = -f(x)

A:

Q: 19. Evaluate the difference quoatient: f(x+h)-f(x) h as much as possible: a.) f(x) = 2x + 7, b.)…

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Q: Let f(x) = 2x – 3x³ and g(x) = 3/x a. Find (f*g)(1) b. Find (g(f(-1))

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (a) Complete the table of values of f(x) for x = -3, -2, –1,0, 1,2, 3. -3 -2 -1 2 3 f(x) (b) Which…

A: x -3 -2 -1 0 1 2 3 f(x) 0.015625 0.0625 0.25 1 4 16 64

Q: Use the given graph of y = f(x) to graph the function g : g(x) = 1/2f(2x)

A: Using the given graph of y=f(x) : We are to graph the function g: gx=12f(2x)

Q: Let f(x) = - 4x+ 15 and g(x) =x² +14. Find f(5)- g(5). (5) - g(5) =|

A: Given that: f(x)=-4x+15g(x)=x2+14

Q: 13. Find [f• g](-4) for f(x) = x-8 and g(x) =-x² +2.

A: Given thatf(x)=x-8g(x)=-x2+2to find fog(-4)

Q: Use the graphs of f and g to evaluate g(f(2)) y 01 00 (-2,1) g (2,4) (2,-2) (4,3) X

A: We have to find out the value of g(f(2)) using the given graph.

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(x) - 1

A: Given:y=fxgx=fx-1

Q: (-10,3) 23 (-2-1-0) -16 (-12,-3) (-8,0) (+3,-1)/ (-6,-5) 61 (1,0) (3,2) -6 (0, -1) (-4,-3) (5,0) y =…

A:

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

A: Explained below..

Q: Q #2. Explain how the graph of g is obtained from the graph of f. Graph both f and g on the same…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function: y=f(x)±n.…

Q: B. Let f(x) = x – x - 4 and g(x) = 2x – 6 4.) Find ()(x - 1) 5.) Find (4) (x)

A: topic - functions

Q: 5. Find (f g)(x) for f(x) = 4x -9 and g(x) 3x2.

A:

Q: 2) Find h(0), h(x + 3), and h(-x) for h(x) = x + √x² -1.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the z-coordinate(s) of the inflexion point(s) of the graph of f(z) = 21-3z² + z – 1. %3D

A: Explanation: Given that: fx=2x4-3x2+x-1 Concept: dxndx=nxn-1 Step 1. Take the first derivative  Step…

Q: Sketch the graph of f(x) = (x – 8)*(x + 5)"(x – 1)²(x + 3)6

A: Zeros: -5, -3, 1, 8     For higher even powers, such as 4, 6, and 8, the graph will still touch and…