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Reptile [31]
3 years ago
10

Find the value of x so that the function has the given value. You must show your work for each problem in your notebook to recei

ve full credit.
1. f(x) = 6x+9; f(x) = 21
x = ?

2. g(x) = -1/2x + 3; g(x) = -1
x = ?

If you don't know the answer, then please don't answer at all. Brainly is meant to help others understand the material given. Thank you!
Mathematics
2 answers:
galben [10]3 years ago
7 0

\LARGE{ \underline{ \orange{ \rm{Required \: answer:}}}}

Some functions in variable x is given to us. And the value of the polynomial in x is also given, we need to find the value of x in each case.

GiveN:

  1. f(x) = 6x + 9, f(x) = 21
  2. g(x) = -1/2x + 3, g(x) = -1

What to find?

  • We need to find the value of x in each case.

Step-wise-Step Explanation:

1) <u>f(x) = 6x + 9, f(x) = 21</u>

⇒ f(x) = 21

⇒ 6x + 9 = 21

⇒ 6x = 12

⇒ x = 2

Value of x in this case is <u>2</u><u>.</u>

2) <u>g(x) = -1/2</u><u> </u><u>x</u><u> + 3, g(x) = -1</u>

⇒ g(x) = -1

⇒ -1/2 x + 3 = -1

⇒ -1/2 x = -4

⇒ 1/2 x = 4

⇒ x = 8

Value of x in this case is <u>8</u><u>.</u>

Maru [420]3 years ago
4 0

Answer:

1. The value of x is 2

2. The value of x is 8

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

It's given in the question that both the traingles JCD & JKL are similar. So their ratio of corresponding similar sides will be proportional to each other.

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The value of a, b and c can be calculated using the inverse function.

The calculated the value of a= 2, b=1 and c= -2.

Given:

The function is  f(x)=\log_{0.5}x and its inverse is f^{-1}(x)=0.5^x .

<h3>What is an inverse function?</h3>
  • The inverse function of a function is defined if f is a function that undoes the operation of f.
  • The inverse of f exists if and only if f is bijective, and if it exists, is denoted by f^{-1}.

Substitute the value of x= -1 in a given inverse function and calculate the value of a.

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Substitute the value of x  is 0 in given inverse function.

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f^{-1}(x)=0.5^x\\f^{-1}(2)=0.5^2\\f^{-1}(2)=-2

Therefore, the value of a= 2, b=1 and c=-2.

Learn more about inverse function here:

brainly.com/question/15912209

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