The inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6
<h3>How to determine the inverse function?</h3>
The function is given as:
f(x) = 6x + 4
Rewrite as:
y = 6x + 4
Swap x and y
x = 6y + 4
Subtract 4 from both sides
6y = x - 4
Divide through by 6
y = (x - 4)/6
Rewrite as:
f^-1(x) = (x - 4)/6
Hence, the inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6
Read more about inverse functions at:
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Answer:
Ashley=13 messages
Frank=20 messages
Chang=2x+14=40 messages
Step-by-step explanation:
Number of texts sent by each person;
Ashley=x
Frank=x+7
Chang=2(x+7)=2x+14
Total number of text messages=Number sent by Ashley+Number sent by Frank+Number sent by Chang
where;
Total number of text messages=73
Replacing;
73= x+(x+7)+(2x+14)
x+x+2x+7+14=73
4x+21=73
4x=73-21
4x=52
x=52/4
x=13
Ashley=13 messages
Frank=x+7=13+7=20 messages
Chang=2x+14=(2×13)+14=40 messages
Answer:
The magnitude of the resultant force is:

The direction is:

Step-by-step explanation:
Let's find the components of each vector is x and y-directions first.
<u>Sum of x-component vector forces.</u>



<u>Sum of y-component vector forces.</u>


The magnitude of the resultant force is:


The direction is:



I hope it helps you!