The inverse function of g(x) is:
So the correct option is D.
<h3>
How to get the inverse of g(x)?</h3>
Here we have the function:
Remember that two functions f(x) and g(x) are inverses if:
Then we must have:
Solving for f(x), we get:
Then the correct option is D.
If you want to learn more about inverse functions:
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Answer:
Solve each system of equation by graphing
Y=2x
Step-by-step explanation:
y=2
x=-2
Answer:
200
Step-by-step explanation:
Given that :
16% of coins are quarters from 1990
Number of quarters from 1990 = 32
Since 16% = 32 quarters
The number of the total coins can be obtained thus :
Let the total number of coins = x
16% = 32
100% = x
Cross multiply :
0.16x = 32 * 1
0.16x = 32
x = 32 / 0.16
x = 200
Hence, total number of coins in the collection = 200
If f(x) = 5x - 16, then value of f(9) is 29
<em><u>Solution:</u></em>
Given function is f(x) = 5x - 16
We are asked to find the value of f(9)
To find the value of f(9), we have to substitute x = 9 in given function and solve the function
Therefore, substitute x = 9
f(x) = 5x - 16
f(9) = 5(9) - 16
Multiply 5 with 9 which gives 45
f(9) = 45 - 16
Subtract 16 from 45
f(9) = 29
Thus value of f(9) is 29
Factor the leading term (4) and get the closest 2 multiplues
2 and 2
(2x+ )(2x+ )
we know that they are both plus since the midddle terms and end term is positive
now factor the last term(5) and get the 2 multiplues
1 and 5
(2x+1)(2x+5)=4x^2+2x+10x+5=4x^2+12x+5
factored form is (2x+1)(2x+5)