Explain how to use a graph of the function f(x) to find f(3).

Mathematics

1 answer:

Simora [160]3 years ago

7 0

The number in parentheses (3) is the x value. Look at the graph and what the y value of the line is at x = 3

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What is the inverse of the function f(x) = 2x + 1?

BaLLatris [955]

Answer:

$f^{-1} = \frac{x-1}{2}$

Step-by-step explanation:

$f(x) = 2x+1$

Replace it with y

$y = 2x+1$

Exchange the values of x and y

$x = 2y+1$

Solve for y

$x = 2y+1$

Subtracting 1 from both sides

$2y = x-1$

Dividing both sides by 2

$y = \frac{x-1}{2}$

Replace it by $f^{-1}$

So,

$f^{-1} = \frac{x-1}{2}$

3 0

4 years ago

Read 2 more answers

William bought some tickets to see his favorite singer. He bought some adult tickets and some children’s tickets, for a total of

Fantom [35]

Set x as adult tickets.
Set y as children's tickets.
x + y = 15
30x + 20y = 270
Solve for x in the first equation.
x + y = 15
x = 15 - y
Plug this into the second equation.
30x + 20y = 270
30(15 - y) + 20y = 270
450 - 30y + 20y = 270
450 - 10y = 270
-10y = -180
y = 18
If there is 18 childrens tickets, there should be -3 adult tickets.
This is impossible, and this impossible answer occured because the question is written wrong.
There are a total of 15 tickets
The smallest costing ticket is the childrens ticket, which costs 20$.
If he only bought children tickets, this would be 20x15 which is 300$.
300$ is over 270$, which makes the question impossible.

8 0

3 years ago

The table below shows values for functions f(x) = g(x) What are the solutions to f(x) = g(x)?

MakcuM [25]

The solutions to f(x) = g(x) are where the x-values for which the output f(x) is equal to the output of g(x).

What I mean by this is for instance, you input 7 into f(x) and g(x) and you get the same answer, then 7 is a solution.

Here, we are looking in columns two and three to see which rows are equal. It looks like when you input 0 into both f(x) and g(x), you get 2, and when you input 1 into both f(x) and g(x), you get 3. Therefore, (0,2) and (1,3) are your solutions.