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3 years ago

If f(x) = x + 4 and g(x) = x, what is (gºf)(-3)?

Mathematics

1 answer:

valina [46]3 years ago

6 0

(gºf) means solve f(x) first, then use that for g(x)

In the equation for f(x) replace x with -3:

f(x) = x +4 = -3 +4 = 1

Now replace the x in the equation for g(x) with 1

g(x) = x = 1

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True or false.

krek1111 [17]

Answer:

True

Step-by-step explanation:

hope this helps you

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2 years ago

write a polynomial function of least degree with integral coefficients that has the given zeros. -(1/3), -i

inessss [21]

Answer:

$f(x)=3x^3+x^2+3x+1$

Step-by-step explanation:

If a real number $-\frac{1}{3}$ is a zero of polynomial function, then

$x-\left(-\dfrac{1}{3}\right)=x+\dfrac{1}{3}$

is the factor of this function.

If a complex number $-i$ is a xero of the polynomial function, then the complex number $i$ is also a zero of this function and

$x-(-i)=x+i\ \text{ and }\ x-i$

are two factors of this function.

So, the function of least degree is

$f(x)=\left(x+\dfrac{1}{3}\right)(x+i)(x-i)=\left(x+\dfrac{1}{3}\right)(x^2-i^2)=\\ \\ =\left(x+\dfrac{1}{3}\right)(x^2+1)=\dfrac{1}{3}(3x+1)(x^2+1)=\dfrac{1}{3}(3x^3+x^2+3x+1)$

If the polynomial function must be with integer coefficients, then it has a form

$f(x)=3x^3+x^2+3x+1$

4 0

3 years ago

What is the upper quartile of the box plot graph?

julia-pushkina [17]

Answer: Choice A) 90

The upper quartile, aka the third quartile (Q3), is visually represented by the right-side edge of the box, which is at 90 on the number line.

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3 years ago

M.ng giúp mình về phần vector trong ma trận nha

Lera25 [3.4K]

Answer:

maybe if u translate it in English

Step-by-step explanation:

it wouldv been helpful if u mind?

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2 years ago

To which subsets below does the number -9/3 belong ??

emmainna [20.7K]

Integer
because step-by-step-equation

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2 years ago