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Anuta_ua [19.1K]
3 years ago
7

I cant remember how to do this

Mathematics
1 answer:
patriot [66]3 years ago
8 0
Okay let’s go through this together I’ll break it down.

2x+3/ x-2 = 38/12

Cross multiply
12(2x+3) = 38(x-2)
24x+36 = 38x-76
- 36= -36
—————————-
24x= 38x-112
-38x= -38x
———————-
-14x = -112
—————— divided
-14x = -14

X= 8
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The domain and inverse of the function

r(x) = \frac{11}{(x - 4)^2} is

Domain = \mathbb{R} - \{4\},

r^{-1}(x) = \pm \sqrt{\frac{11}{x}} + 4

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

The given function is

r(x) = \frac{11}{(x - 4)^2}

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Domain = \mathbb{R} - \{4\},

Where \mathbb{R} is the set of all real number

Let r(x) = y

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<em />r^{-1}(x) = \pm \sqrt{\frac{11}{x}} + 4

To learn more about function, refer to the link:

brainly.com/question/22340031

#SPJ4

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