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3 years ago

Let f(x) = 2x +2. solve f -1 (x) when x = 4

Mathematics

1 answer:

Dafna1 [17]3 years ago

8 0

If y = f(x), then f⁻¹(y) = x.

We have f(x) = 2x + 2, so that f(x) = 4 when

2x + 2 = 4

2x = 2

x = 1

So we know f(1) = 4.

Then this means 1 = f⁻¹(4).

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Here’s another way to think about the number line model for 2 – (-3): if we were adding 2 + (-3), we’d first move two units to t

CaHeK987 [17]

Subtracting -9 from any number is the same as

A

subtracting 9 from that number.

7 0

3 years ago

What is 312/17 in simplest form.

My name is Ann [436]

312/17
= (306+6)/ 17
= 306/17+ 6/17
= 18+ 6/17
= 18 6/17

The final answer is 18 6/17~

7 0

3 years ago

$7000 is compounded semiannually at a rate of 11% for 21years Find the total amount and round to the nearest cent

photoshop1234 [79]

$\text{Given that }\$7000 \text{ is compounded semiannualy at a rate of }11\% \text{ for 21 years}\\
\\
\text{we know that the amount after t year when compounded is given by}\\
\\
A=P\left ( 1+\frac{r}{n} \right )^{nt}\\
\\
\text{here P is the principal amoount, so }P=7000,\\
\\
\text{r is the interest rate, }r=11\%=0.11\\
\\
\text{n is the number of times in a year, here semiannulay, so }n=2,\\
\\
\text{and t is the time, so }t=21\\
\\
\text{so the amount after 21 years is}$

$A=7000\left ( 1+\frac{0.11}{2} \right )^{2(21)}\\
\\
\Rightarrow A=7000\left ( 1+0.055 \right )^{42}\\
\\
\Rightarrow A=7000\left ( 1.055 \right )^{42}\\
\\
\Rightarrow A\approx 66328.68$

So the amount after 21 years is: $66328.68

7 0

3 years ago

What are the coordinates of D’ when the quadrilateral is reflected across the line y = x? On a coordinate plane, quadrilateral A

natita [175]

Answer:

D' (1, 3)

Step-by-step explanation:

When reflected across the y = x line, the "x" and "y" coordinates switch.

If D is (3, 1), then:

x = 3

y = 1

Switch the "x" and "y" values, and rewrite as (x, y).

x = 1

y = 3

D' (1, 3)

7 0

2 years ago

Please help me out. What are these ??

Nata [24]

Invert at one point

6 0

3 years ago