-1.5 ==> 3/4 ==> 3 ==> <span>√10
Hope this helps!</span>
9514 1404 393
Answer:
g^-1(x) = 1/(x+2)
Step-by-step explanation:
To find the inverse of the function ...
y = g(x)
swap the variables and solve for y.
x = g(y)
x = 1/y -2 . . . . . . . use the given g(x)
x +2 = 1/y . . . . . . . add 2
y(x +2) = 1 . . . . . . multiply by y
y = 1/(x +2) . . . . . divide by the coefficient of x
The inverse function is ...
_____
<em>Additional comment</em>
Please observe that when the fraction is typeset, as in the boxed answer, the fraction bar serves as a grouping symbol. It shows you that the denominator is the sum x+2.
When the same expression is written in plain text, only the first item after the division symbol (/ or ÷) is considered to be in the denominator. That is, 1/x+2 = (1/x)+2. The presence or absence of a (space) has no bearing on the correct interpretation of the expression. Only parentheses will serve as a grouping symbol in plain text expressions.
g^-1(x) = 1/(x+2)
Answer: the price of each CD before tax is $14.9
Step-by-step explanation:
Let x represent the price of each CD before tax.
Abdul bought 3 CDs that were each the same price. It means that the total cost of the 3 CDs before tax is $3x.
Including sales tax, he paid a total of $47.40. Of that total, $2.70 was tax. It means that
3x + 2.7 = 47.4
3x = 47.4 - 2.7
3x = 44.7
x = 44.7/3
x = 14.9
the price of each CD before tax is $14.9
Answer:
1st and 3rd choices
Step-by-step explanation:
1st:
The graph follows the y=mx+b pattern, which if fits will always be a straight line.
This expression will be used throughout to explain answers.
3rd:
The y-intercept, or b, is -2. In the y-intercept, the x value is 0, so a point in the line is (0, -2).
The rest:
The 2nd is wrong because the y-intercept is -2. The line is two units below the origin when the x value is zero.
The 4th is wrong, because the slope, m, is 1/3, which is less than 3.
The 5th is wrong, because as explained in the 3rd choice, the y-intercept is -2, not 2.