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pashok25 [27]
3 years ago
9

Are the functions inverse of each other? f(x)=5x^2+3, g(x)sqrt x-3/5

Mathematics
2 answers:
MariettaO [177]3 years ago
8 0

Answer:

  no

Step-by-step explanation:

The function f(x) does not pass the horizontal line test, so has no inverse, except on a restricted domain. The question does not include any restriction on the domain, so the functions are not inverses of each other.

If we assume your functions are ...

  f(x)=5x^2+3\\\\g(x)=\sqrt{\dfrac{x-3}{5}}

Then the value of g(f(x)) is ...

  g(f(x))=\sqrt{\dfrac{(5x^2+3)-3}{5}}=\sqrt{\dfrac{5x^2}{5}}=\sqrt{x^2}

This is only equal to x when x ≥ 0. For x < 0, g(f(x)) ≠ x, so the functions are not inverses.

_____

You can see from the graph that the function g(x) is not the reflection of f(x) across the line y=x. If the functions were inverses, each would be a reflection of the other.

luda_lava [24]3 years ago
3 0

Answer:

No.

Step-by-step explanation:

Plugging in g(x) into f(x), you don't get x. g(x) would need to be = \sqrt{x\frac{-3}{5} }

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Answer:

x1 = 1.54

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Step-by-step explanation:

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3 years ago
You invested $7,000 into a money market account for 10 years at an annual interest rate of 3%. How much is the accrued interest?
steposvetlana [31]

The total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.

<h3>What is invested amount?</h3>

An investment is a payment made to acquire the securities of other firms with the intention of making a profit.

We are assuming the interest will be compounded annually

\rm A = P(1+\dfrac{r}{n})^{nt}

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

We have:

P = $7000

r = 3% = 0.03

t = 10 years

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\rm A = 7000(1+\dfrac{0.03}{1})^{1\times10}

After calculating:

A = $9407.41

I = A - P = 9407.41 - 7000 = $2,407.41

Thus, the total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.

Learn more about the invested amount here:

brainly.com/question/16995381

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4 0
2 years ago
AB || DE<br><br> Find: <br> m∠A = m∠<br> by reason <br> m∠ACB = m∠<br> by reason
swat32
If you find a first you will be able to find b a little faster then it is super easy after that you got this!
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3 years ago
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gizmo_the_mogwai [7]

Answer:

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Step-by-step explanation:

200+33.60+31.50=£265.10

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3 years ago
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If AC = 20 centimeters, and BC = 16 centimeters, which does AB equal?
Anna11 [10]

Answer:

The answer is B. 12 cm

Step-by-step explanation:

ABC is a right triangle

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