MATHEMATICS HIGH SCHOOL

What is the inverse of the function f(x)=1/9x+2

Answers

Answer 1

Answer:

Answer:

$f^(-1)(x)=9x-18$

Step-by-step explanation:

we have

$f(x)=(1)/(9)x+2$

Let

$y=f(x)$

$y=(1)/(9)x+2$

Exchange variables x for y and y for x

$x=(1)/(9)y+2$

Isolate the variable y

$x-2=(1)/(9)y$

$y=9(x-2)$

$y=9x-18$

Let

$f^(-1)(x)=y$

$f^(-1)(x)=9x-18$ -------> inverse function

Answer 2

Answer: f(x) = 1/9x+2

-2 from both sides

f(x)-2 = 1/9x

*2 to both sides

9(f(x)-2) = x

replace 'f(x)' with 'x'

9(x-2) = f(x^-1)

simplify and reverse sides

f(x)^-1 = 9x-18

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A wildflower bouquet costs $4.25 at the farmer's market. A vase can be purchased for an additional $3.50. Kelly has $20 to buy a bouquet for her mother with a vase. She'd also like to buy just a bouquet for herself and another for her best friend.If x represents the number of bouquets Kelly can buy, which inequality will tell Kelly if she has enough money to make her purchase?
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Answers

A is the answer.
4.25 multiply 3= 12.75
12.75 + 3.50= 16.50
16.50 ≤ $20

Answer:

Step-by-step explanation:

Ron grew 224 flowers with 56 seed packets. How many seed packets does Ron need to have a total of 324 flowers in his garden? Assume the relationship is directly proportional.

Answers

Answer:

the relationship is directly proportional.

224 flowers 324 flowers

56 seed packets (324*56)/224=81 seed packets

What is the slope of the line represented by the values in the table?x. y
10. 14
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answers:

-2
$(1)/( - 2)$
$(1)/(2)$
2

Answers

Answer:the answer is 2

Step-by-step explanation:I did the quiz

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Answers

hexagon has 6 sides, and a pentagon has 5, can I have a crown?

Answer:

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Step-by-step explanation:

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The resultant force, R, is related to two concurrent forces, X and Y, acting at right angles to one another, by the formula R2=X2+Y2. Rewrite the formula for Y.

Answers

R^2 = X^2 + Y^2
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Answer:

Y = √(R² - X²)

Step-by-step explanation:

Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).

Answers

The quadratic function f(x) = x² - 5x + 12 has a parabolic graph that opens upwards. It passes through the point (0, 12) and does not contain the point (20, -8).

The quadratic function f(x) = x² - 5x + 12 is a second-degree polynomial with a leading coefficient of 1. It has a graph that is a parabola, which opens upwards since its leading coefficient is positive. The statement "the graph contains the point (0, 0)" is true because the y-intercept is found by evaluating f(0) which equals 12. The statement "the graph contains the point (20, -8)" is false because plugging in x = 20, we get f(20) = 212 which is not equal to -8. The statement "the graph of the function opens down" is false, as stated before, the graph of the function opens upwards.

Learn more about quadratic functions here: brainly.com/question/18958913

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