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artcher [175]
1 year ago
14

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

Mathematics
1 answer:
hichkok12 [17]1 year ago
4 0

Answer:

f^{-1}(x) = 9x -18.

Step-by-step explanation:

y=f(x)=\dfrac 19 x +2\\\\\text{Replace x with y and then solve for y,}\\\\~~~~~~~x = \dfrac 19 y+2\\\\\implies 9x =y + 18~~~~~~~~~~~~~~~;[\text{Multiply both sides by 9}]\\ \\\implies y = 9x -18\\\\\implies f^{-1}(x) = 9x -18\\\\\text{Hence, the inverse of the given function is}~  f^{-1}(x) = 9x -18.

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The measures of two angles of a triangle are 23 and 67. Is the triangle acute, right, or obtuse. Use geometric terms in explanat
Vlada [557]
The angle measures of any triangle = 180 adding 27 and 63. = 90 leaving 90 degrees for the remaining angle therefore the triangle is a right triangle by definition if a triangle has a 90 degree angle it's a right triangle
3 0
3 years ago
Drag each tile to the correct box.<br>Order the expressions from least value to greatest value.<br>​
STatiana [176]

Answer:

-2 19/20, 2 3/5. 3.125, 10.35

Step-by-step explanation:

Let's solve each expression:

Solve:

-4.5 x -2.3

Multiply:

-4.5 x -2.3

10.35

Therefore, the simplified expression is 10.35

Solve:

5/-1.6

Divide:

5/-1.6

3.125

Therefore, the simplified expression is 3.125

Solve:

5 6/15 + (-2 4/5)

First, make the denominators of 4/5 equal to 15:

4/5 = ?/15

Multiply both the numerator and denominator by 3:

4 x 3 = 12

5 x 3 = 15

The new fraction is 12/15.

Add:

5 6/15 + (-2 12/15)

2 9/15

Simplify:

2 9/15 = 2 3/5

(divide the numerator and denominator by 3)

Therefore, the simplified expression is 2 and three-fifths.

Solve:

-3 3/10 - (-7/20)

First, make the denominators of 3/10 equal to 20:

3/10 = ?/20

Multiply both the numerator and denominator by 2:

3 x 2 = 6

10 x 3 = 20

The new fraction is 6/20.

Subtract:

-3 6/20 - (-7/20)

-2 19/20

Therefore, the simplified expression is negative 2 and nineteen-twentieths.

Order from least to greatest:

-2 19/20, 2 3/5. 3.125, 10.35

3 0
2 years ago
Determine the intercepts of the line. x-intercept:( , ) y-intercept: ( , )​
sasho [114]

Answer:

y intercept is -10

x intercept is 3

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7 0
2 years ago
Find LCM of 9-p^2 and p^2+3p​
snow_lady [41]

Answer:

(3+p)

Step-by-step explanation:

solution

first expression=9-P^2

=3^2 - P^2

=(3+P) (3-p)

second expression=p^2 + 3p

= p(3+p)

Therefore lCM= (3+p)

3 0
2 years ago
Find the area, a rectangle with a length of 4 cm and a width of 2.5 cm
Brums [2.3K]

Answer:

10

Step-by-step explanation:

4x2.5=10CM2

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5 0
1 year ago
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