(a) Sove 10)21 The solution to 0-0ax Type an integer or a fraction Use a comma t

Question

(a) Sove 10)21 The solution to 0-0ax Type an integer or a fraction Use a comma to separale answers as needed) (Type an integer or a fraction Use a comma to separale anwers as needed) (Type your answer in interval notation Simplity your we Tyoe an ea nwer uing radioals as needed Use integers or tradtions for any numbers in the expression O C. The solution set is to py (Type your arewer in interval netuion O B. The solution t is the st of all ea your choice nxadt answwe, using adca's as neeced Use inegers or tractions for any numbers in he expression3 Click to soiect our nsweri 15 MacBook Air 888F 2 3 4 6

Explanation / Answer

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Given

f(x) = -x^2 + 1

g(x) = 6x + 1

a) f(x) = 0

=> -x^2 + 1 = 0

x^2 = 1

x = +/- 1

b) g(x) = 0

6x + 1 = 0

x = -1/6

c) f(x) = g(x)

-x^2 + 1 = 6x + 1

x^ + 6x = 0

x ( x + 6) = 0

x = 0, -6

d) f(x) > 0

-x^2 + 1 > 0

x^2 - 1 < 0

(x - 1) (x+ 1) < 0

Hence the value of f(x) > 0 when -1<x <1

Solution

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