Given; g(x)= 8x - 2 What is the value of g⁻¹(30)

Mathematics

1 answer:

KiRa [710]3 years ago

5 0

Answer:

$g^{-1}$ (30) = 4

Step-by-step explanation:

g(x) = 8x -2

Let g(x) = y

y = 8x -2 (note: y is the range and x is the domain, we need to rearrange to make x the range and y the domain instead)

y + 2 = 8x

x = (1/8) (y + 2)

hence the inverse of g(x) is $g^{-1}$ (y) = (1/8) (y + 2)

$g^{-1}$ (30) = (1/8) (30 + 2) = 4

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Please show me how you got the answer. Will give brainliest.

umka21 [38]

Answer: 410 possible points

To solve for the possible points in the course, use a proportion and cross multiply.

<h2>What is a proportion?</h2>

A proportion is two fractions that are equal to each other. For the fractions to be equal, they are proportionate. In our math problem, percentage is proportionate the the number of points.

The fractions represent information you have, and one variable will represent what you are solving for.

<h2 /><h3>Given</h3>

Your points = 361

Points to get an 'A' = your points + 8

'A' = 90% of possible points

<h3>Find the points needed for an 'A' at 90%</h3>

Points to get an 'A' = your points + 8

= 361 + 8

= 369

<h3>State variables</h3>

let <em>x</em> be the amount of possible points

<h3 /><h3>Write a proportion</h3>

We know the number of points for 90% is 369 points. Remember that 90% is the same as 90/100.

Keep the information with the same units inside the same fraction. Here, percentage is represented by the first fraction. Points is represented by the second fraction.

$\displaystyle{\frac{90}{100}=\frac{369}{x}}$