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4 years ago

Find the inverse for f(x)= sqrt2x-6

Mathematics

1 answer:

Luda [366]4 years ago

8 0

Answer:

f^-1(x) = (x^2 +6)/2

Step-by-step explanation:

f(x) = y

y = $\sqrt{2x-6}$

to get the inverse replace x with y

so x = $\sqrt{2y-6}$

by squaring both sides

x^2 = 2y-6

y = (x^2 +6)/2

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Step-by-step explanation:

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4 years ago

One root of f(x)=x^3-9x^2+26x-24 is x = 2. What are all the roots of the function? Use the Remainder Theorem.

aniked [119]

Answer:

$x=3$ or $x=4$

Step-by-step explanation:

the given function is;

$f(x)=x^3-9x^2+26x-24$

According to the rational roots theorem, the possible rational roots are;

$\pm1,\pm2\pm3,\pm4,\pm6,\pm8,\pm12,\24$ .

According to the Remainder Theorem, if $f(a)=0$ , then $x=a$ is a zero of the polynomial.

$f(3)=3^3-9(3)^2+26(3)-24$

$f(3)=27-81+78-24$

$f(3)=24-24=0$

Also,

$f(4)=4^3-9(4)^2+26(4)-24$

$f(4)=64-144+104-24$

$f(4)=64-64=0$

Therefore the other roots are;

$x=3,x=4$

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4 years ago

The radius of a circle is 3cm. find its area to the nearest tenth<br>

lianna [129]

Step-by-step explanation:

area of circle =πr²

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hope it helps.

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3 years ago

40% of students on a field trip love the museum. If there are 20 students on the field trip, how many love the museum??

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3 years ago