The x-intercept is when the y value id equal to zero, and the line crosses the x axis. In this example, you can see that the line passes through x at the value of 6, making that your answer.

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4 0

3 years ago

Read 2 more answers

Determine the inverse of the function f (x) = 4(x − 3)2 + 2. inverse of f of x is equal to 3 minus the square root of the quanti

Elodia [21]

The inverse of the function f(x) = 4(x-3)² + 2 is $f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3$

The given function is:

f(x) = 4(x - 3)² + 2

To find the inverse of the function:

Make x as the subject of the formula

$4(x-3)^2 = f(x) - 2\\(x-3)^2 = \frac{f(x)-2}{4} \\x - 3 = \sqrt{\frac{f(x)-2}{4} } \\x = \sqrt{\frac{f(x)-2}{4} } + 3$

Replace x by $f^{-1}(x)$ and replace f(x) by x

$f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3$

Therefore, the inverse of the function is:

$f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3$

Learn more here: brainly.com/question/17285960

4 0

2 years ago

What is the difference for -22 - (-26)

Alenkasestr [34]

Answer:

Step-by-step explanation:

8 0

3 years ago

Gabriella and her children went into a grocery store and where they sell apples for $1 each and mangos for $0.50 each. Gabriella

Dafna1 [17]

Answer:

Step-by-step explanation:

Let x represent the number of apples that she wants to buy.

The grocery store sells apples for $1 each and mangos for $0.50 each.

If Gabriella decided to buy 13 mangos, it means that the cost of buying x apples and 13 mangoes is expressed as

x + 13 × 0.5 = x + 6.5

If she buy at least 19 apples, it means that

x + 13 ≥ 19

x ≥ 19 - 13

x ≥ 6

Gabriella has $15 to spend. It means that

x + 6.5 ≤ 15

x ≤ 15 - 6.5

x ≤ 8.5

Therefore, the maximum number of apples that she can buy is 8

5 0

3 years ago