If f(x) = 4x - 1 and g(x) = 2x - 4, what is (f o g)(x)? View image for answer choices!

HELP

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f(x) = 4x - 1

g(x) = 2x - 4

Soo :

(f o g)(x) = ...

= f(g(x))

= f(2x - 4)

= 4(2x - 4) - 1

= 8x - 16 - 1

= 8x - 17✔ (D.)

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C

Step-by-step explanation:

To do this, let's let the decimal equal n. Thus:

There is only one digit repeating, so let's multiply both sides of the equation by 10:

Now, subtract n from both sides:

On the right, it becomes 9n. However, the left, however, expand, the decimal. In other words:

All of the repeating 1s will cancel out. Thus:

Subtract:

Divide both sides by 9:

And since we set the decimal equal to n originally...

And we're done!

Notes:

This is the algebraic way to write a repeating decimal into a fraction. You can, of course, always just use a calculator and guess and check.