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ss7ja [257]
3 years ago
12

What is the inverse of the function f of x equals 1/9 x + 2

Mathematics
1 answer:
blsea [12.9K]3 years ago
3 0
Converting an equation into inverse function, we need to interchange x with the y.
f(x) = 1/9x + 2
y = 1/9x + 2
Interchange x and y

x = 1/9y + 2
Get the y.

-1/9y = -x + 2
1/9y = x - 2
y = 1/9x - 2/9

So the final answer is
<span>y = 1/9x - 2/9</span>
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Evaluate the integral x^3 (x 4 −8)^44 dx by making the substitution u = x^4 - 8
Eduardwww [97]

Answer:

(x^4-8)^45 /180 +c

Step-by-step explanation:

If u=x^4-8, then du=(4x^3-0)dx or du=4x^3 dx by power and constant rule.

If du=4x^3 dx, then du/4=x^3 dx. I just divided both sides by 4.

Now we are ready to make substitutions into our integral.

Int(x^3 (x^4-8)^44 dx)

Int(((x^4-8)^44 x^3 dx)

Int(u^44 du/4)

1/4 Int(u^44 dul

1/4 × (u^45 / 45 )+c

Put back in terms of x:

1/4 × (x^4-8)^45/45 +c

We could multiply those fractions

(x^4-8)^45 /180 +c

5 0
3 years ago
3. Which expression is equivalent to 1+2(x-1)
padilas [110]

Answer:

<em>2x - 1</em>

Step-by-step explanation:

<u>Equivalent Algebraic Expressions </u>

One algebraic expression can be written in several ways by applying known rules and theorems that modify expressions without changing its final value.

The expression:

1 + 2(x - 1)

Can be modified by applying the following operations:

Multiplying the constant by the contents in parentheses:

1 + 2x - 2

Collecting like terms:

-1 + 2x

Or, equivalently:

2x - 1

8 0
3 years ago
Name a pair of complementary angles in the diagram above.
Tamiku [17]

Answer:

7&9

Step-by-step explanation:

Really, its just because, that's my explanation.

3 0
3 years ago
Tammy took a five-hour flight to Denver, Colorado. She traveled
marysya [2.9K]

Answer:

388 miles in one hour.

Step-by-step explanation:

You divide 1,940 by 5.

7 0
3 years ago
Which point on the number line is closest to the product of the numbers graphed at points R and T? Explain your answer.
victus00 [196]

Answer Point R = 7/10

and Point T = 9/10

7/10  · 9/10  = 63

63/100  

6 /10 = point Q.

Step-by-step explanation:

5 0
3 years ago
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