Question 1 Let g(x) be defined by the following table: g(x) 2 3 1 What is g-'(3)? O 2 O 5 01 O 3 5. 1.

Q: (a) Write the equation in slope-intercept form, and determine the slope and y-intercept. (b) Graph…

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Q: Evaluate the expression a+b a+b when a=23a=23 and b=45b=45. Write in simplest form

A: # the expressions are printed twice , taking them once given a=23 and b=45 The value of a+b is as…

Q: 3) Given the function f(x) defined by the table below, 1 4 2 8 b) a) Evaluate f(6) Solve f(x) = 4 c)…

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Q: Can you please find (f o g o h)(x) where f, g and h are defined, and it's in the attached picture.…

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Q: If f(x) = 3 – 4x, find f-(-17).

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Q: Let f(x) 1 and g(x) За + 8. с — 2 Find each of the following: 1 a) f(g(6)) 24 b) f(g(x))

A: Given, f(x)= 3x+6 g(x)= 5x²+7x We know that, (g°f)(x)= g(f(x)) Substituting known values, = g(3x+6)…

Q: Can you explain step by step

A: Step 1:Step 2: Step 3: Step 4:

Q: X x + 2 A1. The functions f and g are defined by f(x) (a) Calculate f'(x) and g'(x). d (b) Calculate…

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Q: Evaluate (f o g)(x) or f[g(x)] f(x) = x² – 3x - g(x) = x + 5 (fo g)(x) = f[g(1)] %3D

A: Given function is : fx=x2-3xgx=x+5 To find the value of fogx.

Q: 5. If f (x) = Vx, g(x) = x + 5 and h(x) = x² – ÷, 1 find the following.

A: Given,            fx=x , gx=x+5  and  hx=x2-1x .

Q: \(d\) is a metric on \(X\). Show that \(\rho : X^2 \to [0,\infty)\) defined by \[ \rho(x,y) =…

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Q: EXAMPLE 3 If f(2) = 5, (4) = 6, and f(7) = -9, find f -'(6), f ·'(5), and f '(-9). SOLUTION -1 From…

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Q: If f(x) = x + 7 and g(x) = x - 7, (a) f(g(x)) (b) g(f(x)) = (c) Thus g(x) is called an - Question…

A: given f(x)=x+7 and g(x)=x-7

Q: M0 Sketching Graphs Functions In Exercises 9-12, sketch the of Quadratic M graph of each quadratic…

A: 12. (a) The graph for the function y=x2 is the parent curve for the given quadratic function. Plot…

Q: What is g(x)

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Q: If f is one-to-one and f(- 12) = 11, then %3D f-'(11) = and (f( – 12))- =

A: The function f is one-to-one and f(-12)=11

Q: Assume that f is a one-to-one function. (a) If f(6) = 2, find f-1(2). %3D (b) If f-(4) = -9, find…

A: One-to-one function means for every value of x, there will be a unique value of f(x).