2 years ago

Which equation represents a linear function That is shown on the graph below?

Mathematics

1 answer:

jok3333 [9.3K]2 years ago

5 0

The second one I believe because it’s basiclalu going up one half everytime to get to one

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What is 2log5(5x^3)+(1/3)log5((x^2)+6) written as a single logarithm?

joja [24]

Assuming 5 is the base. I'm going to leave that out for now.

2log(5x^3) + (1/3)log(x^2+6)

power rule
log(5^2 x^3*2) + log((x^2 + 6)^(1/3))

log(25x^6) + log((x^2 + 6)^(1/3))

quotient rule
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4 0

3 years ago

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Given that f(x)=2x/3 evaluate f^-1(6)

abruzzese [7]

Answer:

Step-by-step explanation:

we know by definition that

$f^{-1}(f(x))=x\\\\f^{-1}(\frac{2x}{3})=x\\\\f^{-1}(x)=ax\\\\f^{-1}(\frac{2x}{3})=a(\frac{2x}{3})=x\\\\f^{-1}(x)=\frac{3x}{2}$

so now we evaluate

$f^{-1}(6)=\frac{3*6}{2}\\\\=3*3\\\\f^{-1}(6)=9$

and if we want to do an extra step

$f^{-1}(f(6))=6\\\\f^{-1}(\frac{2*6}{3})=f^{-1}(4)=\frac{3*4}{2}=6$

which works.

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3 years ago

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Norma-Jean [14]

Answer:

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Step-by-step explanation:

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3 years ago

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ale4655 [162]

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Step-by-step explanation:

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