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kap26 [50]
3 years ago
10

List the steps that should be used to solve the equation f(x) = g(x) by graphing when f(x) = (1/2)² - 3 and g(x) = 3x + 5?

Mathematics
1 answer:
jolli1 [7]3 years ago
7 0

value of x is: x=\frac{-31}{12}

Step-by-step explanation:

We need to solve the equation f(x)=g(x)

where f(x)=(\frac{1}{2})^2-3

and g(x) = 3x + 5

Solving to find f(x)=g(x)

Putting values of f(x) and g(x)

f(x)=g(x)\\(\frac{1}{2})^2-3=3x + 5\\\frac{1}{4}-3=3x + 5\\Subtarct\,\,5\,\,on\,\,both\,\,sides:\\\frac{1}{4}-3-5=3x + 5-5\\\frac{1}{4}-8=3x\\Taking\,\,LCm\,\,on\,\,left\,\,side\\\frac{1-8*4}{4}=3x\\\frac{-31}{4}=3x\\Divide\,\,both\,\,sides\,\,by\,\,3\\x=\frac{-31}{4*3}\\x=\frac{-31}{12}

So, value of x is: x=\frac{-31}{12}

The graph will be a straight line x= -2.58 or x = -31/12

Keywords: Composition of Functions

Learn more about Composition of Functions at:

  • brainly.com/question/10772025
  • brainly.com/question/4939434
  • brainly.com/question/2723982
  • brainly.com/question/1774827

#learnwithBrainly

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