Answer:
g^-1(x) = (x - 5)/-6
Step-by-step explanation:
g^-1(x) refers to an inverse function. To find any inverse function, we must replace g(x) with x and x with g(x). We can then solve for the new g(x) and that would be the composite function.
g(x) = -6x + 5 ------> Swap x and g(x)
x = -6g(x) + 5 -----> Subtract 5 from both sides
x - 5 = -6g(x) ------> Divide by -6
(x - 5)/-6 = g(x)
(a) both a relation and a function
<u>Step-by-step explanation:</u>
In math, the relation is between the x-values and y-values of ordered pairs. The set of all x-values is called the domain, and the set of all y-values is called the range. We must have a value of y for a value of x and so it's a relation.
Here , y = x/3 for every value of x we have a value of y as at x=1 we have y=1/3. So, it is a relation. Now, Relation is function when it passes vertical line test i.e. when we draw graph of y if we sketch many distinct vertical lines they all must cut graph at only one point and so its function. Basically, for every value of x we must have only one value of y. Y = x/3 follows the above rule and so its also a function! ∴ y=x/3 is both a relation & a function.
Answer:
1
Step-by-step explanation:
When they say the value of h(x) they're asking what y value is when x=3. Hope this helps!
Answer:
case A.
case B.
case E.
Step-by-step explanation:
we have
we know that
<u>Verify each case</u>
case A)
therefore
is equivalent to
case B)
so
is equivalent to
case C)
therefore
is not equivalent to
case D)
so
is not equivalent to
case E)
therefore
is equivalent to
case F)
so
is not equivalent to
A fraction is a way to describe a part of a whole. The number of hours that Mr Mason painted each day is 1.625 hours.
<h3>What is a Fraction?</h3>
A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The total number of hours that Mr Mason took to paint the fence is 6 2/4 hours, while the number of days taken by him is 4 hours. Therefore, the number of hours for which Mr Mason painted each day can be written as,
= (6 ²/₄)/4
= (26/4)/4
= 26/16
= 1.625 hours a day
Hence, the number of hours that Mr Mason painted each day is 1.625 hours.
Learn more about Fraction:
brainly.com/question/1301963
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