Which function has an inverse that is also a function? g(x) = 2x – 3 k(x) = –9x2 f(x) = |x 2| w(x) = –20

Finding the inverse of a function f(x):

1. First, replace f(x) with y. This is done to make the rest of the process easier.

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y. This is the step where mistakes are most often made so be careful with this step.

4. Replace y with f^{-1}(x). In other words, you’ve managed to find the inverse.

5. Remember: the domain of f is the range of f^{-1} and the range of f is the domain of f^{-1} .

Using this algorithm, you can find the inverse only in case A:

for g(x)=2x-3:

1.

2.

3.

4.

5. The domain and the range of g(x) are all real numbers as well as the domain and the range of

Functions k(x) and f(x) are not one-to-one functions, then you can't find an inverse function. Function w(x) doesn't include x, then you can't also find an inverse function.

correct choice is A.

answer: can you me with homework?

step-by-step explanation:

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: