Answer:
F⁻¹(x) = x/9
Step-by-step explanation:
To find the inverse of a function, you want to switch x and y in the equation and solve for y.
F(x) = 9x
x = 9F(x)
x/9 = F⁻¹(x)
Therefore, the inverse is F⁻¹(x) = x/9.
Answer:
2w - 13
Step-by-step explanation:
here we just simplify the expression,
3w - 4 - w - 9
becomes:
2w - 13
Hello there!
For this you simply need to give both fractions a common denominator!
The easiest way to do this specific problem would be to make the denominator 12. Why 12? Because 4 x 3 = 12.
So:
1/4 --> ?/12 --> 1 (3) / 12 --> 3/12
2/3 --> ?/12 --> 2 (4) / 12 --> 8/12
Total amount of time means the sum (adding them together).
When adding fractions, you MUST have a common denominator! (Which is what we just did).
So 3/12 + 8/12 = (8+3) / 12 = 11/12 hours
Notice how the denominator stayed the same? When adding/subtracting fractions, the denominator stays the same! :)
Hope this helped!
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DISCLAIMER: I am not a professional tutor or have any professional background in your subject. Please do not copy my work down, as that will only make things harder for you in the long run. Take the time to really understand this, and it'll make future problems easier. I am human, and may make mistakes, despite my best efforts. Again, I possess no professional background in your subject, so anything you do with my help will be your responsibility. Thank you for reading this, and have a wonderful day/night!
Step-by-step explanation:
Total distance covered=distance covered by walking+distance covered by jogging
=6/7+4/5=30+28/35
=58/35miles
How much farther did you walk than jog
=6/7-4/5
=30-28/35
=2/35miles
Answer:
{x| –2 ≤ x < 5}
Step-by-step explanation:
There is a box function plotted on the graph.
The function is g(x) = –⌊x⌋ + 3.
Now, we know that a box function represents a step graph having horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle.
It is given that the left-most segment of the given graph goes from (-2,5) to (-1,5) and the rightmost segment goes from (4,-1) to (5,-1).
So, for the left most segment the domain is -2 ≤ x < -1
And for the right most segment the domain is 4 ≤ x < 5
Therefore, the total domain of g(x) will be {x| –2 ≤ x < 5} (Answer)
