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dmitriy555 [2]
3 years ago
7

Use the table below to fill in missing values.

Mathematics
1 answer:
aliina [53]3 years ago
4 0

Step-by-step explanation:

We can observe from the table that the value of independent variable and then the values of function on that variable are given.

So,

<u>f(5) = 6</u>

As the value of function at x=5 is 6

<u>If f(x) = 4 then x = 7</u>

The value of function is 4 only on x=7 so the answer is x = 7

When the inverse is taken, the inputs become output and the outputs become inputs

f^{-1}(6) = 5

The value of inverse will be 5 because in original function 5 is input and 6 is output when this will be reversed for inverse, the output will be 5 for 6

Now,

Lastly

if\ f^{-1}(x) = 7,\ then \x = 4

The reverse rule of input and output will be used. The reverse function will generate 7 at input 4.

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Answer:

\large\boxed{(2x+3)(4x^2-6x+9)}

Step-by-step explanation:

8=2^3\\\\8x^3=2^3x^3=(2x)^3\\\\27=3^3\\\\8x^3+27=(2x)^3+3^3\qquad\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+3)\bigg((2x)^2-(2x)(3)+3^2\bigg)=(2x+3)(4x^2-6x+9)

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