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m_a_m_a [10]
3 years ago
7

Find an equation for the inverse of the function. F(x)=5x+1

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
5 0

Answer:

f-1(x) = (x - 1)/ 5.

Step-by-step explanation:

Lete f(x) = y = 5x + 1

Now we find an expression for x in terms of y:

y = 5x + 1

5x = y - 1

x = (y - 1) / 5

So the inverse of th function = f-1(x) = (x - 1)/ 5 (answer).

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Use polynomial division to completely factor y=x^3+3x^2-13x-15 by x+5
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Answer:

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Step-by-step explanation:

I'd use synthetic division instead.  If we were to find the roots of the given polynomial, we could from them write the factors as well.

The divisor x + 5 corresponds to root x = -5.  Setting up synthetic div.,

-5   )   1    3    -13    -15

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      -----------------------------

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Since the remainder is 0, we know that -5 is a root and (x + 5) is a factor.  Moreover, we know that the coefficients of the quotient are 1, -2 and -3.

1x² - 2x - 3 can be factored:  the factors are (x - 3) and (x + 1).

So the end result for this problem is (x - 3)(x + 1)(x + 5).

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2 years ago
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Answer:

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Collect the like terms together to give you:

x^³ + 10x^² + 32x + 32

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