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3 years ago

When f(x)=4 what is the value of x?

Mathematics

2 answers:

Katarina [22]3 years ago

7 0

When f(x) = 4 then x = 2 (domain = 2, range = 4)

hope it helps

guajiro [1.7K]3 years ago

7 0

From the mapping above it can be seen that the given relationship is bijective (one-to-one and onto or one-to-one correspondence) as each element of the range is mapped to by exactly one element of the domain. So f(x)=4 implies f(2)=4 or simply x=2

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4x + 2(x + 8) = -19+ x

Likurg_2 [28]

4x + 2(x + 8) = -19 + x

4x + 2x + 16 = -19 + x

6x + 16 = -19 + x

6x + 35 = x

-5x = 35

x = -7

6 0

3 years ago

Read 2 more answers

Can someone please help me with this last one. I am totally lost and don’t understand

Ad libitum [116K]

Answer:

g(-4) = -1

g(-1) = -1

g(1) = 3

Explanation:

If you are given a function that is defined by a system of equations associated with certain intervals of x, just find which interval makes x true, and then substitute x into the equation of that interval.

For example, given g(-4), this is an expression which is asking for the value of the equation when x = -4. So -4 is not ≥ 2, so ¼x - 1 will not be used. -4 is also not ≤ -1 and ≤ 2, so -(x - 1)² + 3 will not be used either. So in turn, we will just use -1 which is always -1 so g(-4) will just be -1, right because there is no x variable in -1 so it will always be the same.

Using the same idea as before g(-1) is g(x) when x = -1 so -1 will not be a solution because -1 is not less than -1 (< -1). -1 is not ≥ 2 either so we will be using the second equation because -1 is part of the interval -1≤x≤2 (it is a solution to this inequality), therefore -(x - 1)² + 3 will be used.

As x = -1, -(x - 1)² + 3 = -(-1 - 1)² + 3 = -(-2)² + 3 = -4 + 3 = -1.

It is a coincidence that g(-1) = -1.

Now for g(1), where g(x) has an input of 1 or the value of the function where x = 1, we will not use the first equation because x = 1 → x < -1 → 1 < -1 [this is false because 1 is never less than -1], so we will not use -1.

We will use -(x - 1)² + 3 again because 1 is not ≥ 2, 1≥2 [this is also false]. And -1 ≤ 1 < 2 [This is a true statement]. Therefore g(1) = -(1 - 1)² + 3 = -(0)² + 3 = 3

4 0

3 years ago

The sum of 4 consecutive even integers is -12. find the largest integer.

Ipatiy [6.2K]

Answer:

The largest even integer is 0

Step-by-step explanation:

Given as :

The sum of four consecutive even number = - 12

Let The first even number = 2 x

The second even number = (2 x + 2)

The third even number = (2 x + 4)

The fourth even number = (2 x + 6)

According to question

sum of four consecutive even number = - 12

Or, 2 x + (2 x + 2) + (2 x + 4) + (2 x + 6) = - 12

Or, (2 x + 2 x + 2 x + 2 x) + (2 + 4 + 6) = - 12

Or, 8 x + 12 = - 12

Or, 8 x = - 12 - 12

Or, 8 x = - 24

∴ x = $\frac{- 24}{8}$

i.e x = - 3

now, putting the value of x

The first even number = 2 × - 3 = - 6

The second even number = (2 × - 3 + 2) = - 6 + 2 = - 4

The third even number = (2 × - 3 + 4) = - 6 + 4 = - 2

The fourth even number = (2 × - 3 + 6) = - 6 + 6 = 0

So, The largest even integer = 0

Hence, The largest even integer is 0 Answer

6 0

3 years ago

The area of the rectangular sandbox at Dave's school is 117 square feet. The sandbox has a width of 9 feet as shown in the diagr

Annette [7]

Answer:

ay bru ima tell yu dhis rn is c

Step-by-step explanation:

4 0

2 years ago

Jennifer bought 12 pens. Out of 12 pens, 7 are blue and the rest are red.

alexdok [17]

Answer:

The answer is 5:12

Step-by-step explanation:

It is 5:12 because We already know that 7 pens are blue. To find the number of red pens we must subtract 12 - 7 and get 5 as the number of red pens. Now knowing the no. of red pens and total number we can say the ratio of red pens to total no. is 5:12

8 0

2 years ago