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lara [203]
3 years ago
12

Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3.

Mathematics
1 answer:
natulia [17]3 years ago
8 0
f(x)=4(x+3)-5 \\ f(x)=4x+12-5 \\ f(x)=4x+7 \\ \\
\hbox{solve for x:} \\
y=4x+7 \\
y-7=4x \\
x=\frac{y-7}{4} \\ \\
\hbox{swap x and y:} \\
y=\frac{x-7}{4} \\ \\
f^{-1}(x)=\frac{x-7}{4} \\
f^{-1}(3)=\frac{3-7}{4}=\frac{-4}{4}=-1 \\
\boxed{f^{-1}(3)=-1}
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(-6x3-4x2-8)+(x3-x2-9x+4) add together and simply
Aleksandr [31]

Answer:

-5x³ -5x² -9x - 4

Step-by-step explanation:

(-6x³-4x²-8)+(x³-x²-9x+4)

Add the like terms.

-6x³ and x³ are like terms. -6x³ + x³ = -5x³

-4x² and -x² are like terms. -4x² - x² = -5x²

-8 and 4 are like terms. -8 + 4 = -4

-6x³-4x²-8 +x³-x²-9x+4 = -5x³ -5x² -9x - 4

6 0
3 years ago
Points Pand Q lie in plane A. How many lines contain P
jeka94

Answer:

The correct answer is :

1. Line PQ (One line PQ).

Step-by-step explanation:

The first step to solve this question is to draw the plane A with the points P and Q lying on it.

We know that given two different points there is only one line that contains this two different points.

Let's analyze each option.

''2. Lines PQ and QP''

This option is wrong because there aren't two different lines. In fact it is only one line that can be named line PQ or line QP.

''3. The 2 lines PQ and QP plus another line that does not lie in plane A.''

This option is assuming that exist three lines that contain P and Q. This option is also wrong.

''1. Line PQ''

This option is correct. It will be clarify with the drawing I will attach.

''We can't name them all!''

This option is assuming that exist infinite lines that contain P and Q. This option is wrong.

In the drawing I call the line that contains P and Q as line L.

Given that P and Q lie in plane A necessarily the line L must lie on the plane A.

8 0
3 years ago
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Svet_ta [14]

Answer:

HK

Step-by-step explanation:

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5 0
2 years ago
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mylen [45]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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Find the complete factored form of the polynomial -24a6b4-40a3
Naddik [55]

For this case we have the following polynomial:

-24a ^ 6b ^ 4-40a ^ 3

We must find the greatest common factor of the terms of the polynomial.

The GCF of the coefficients is given by:

24 = 3 * 8\\40 = 5 * 8

Then we look for the GFC of the variables:

We have then:

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Finally rewriting we have: -24a ^ 6b ^ 4-40a ^ 3 = -8a ^ 3 (3a ^ 3b ^ 4 + 5)

Answer:

the complete factored form of the polynomial is:

-8a ^ 3 (3a ^ 3b ^ 4 + 5)

8 0
3 years ago
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