# Let #f(x)=5x-4 and g(x)=x+7#. Determine # color(white)("d") a: (f@g)(x), color(white)("d")b: (g@f)(x),color(white)("d")c: (f@g)(3)color(white)(...)# ?

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this is intermediate algebra and I don't understand how to solve this problem regarding functions

this is intermediate algebra and I don't understand how to solve this problem regarding functions

##### 1 Answer

A lot of explanation given.

Part a:

Part b:

Part c:

#### Explanation:

The letters

For example, if I use the word 'wheel' you immediately know what I am talking about it and possibly a picture of a wheel occurs in your mind.

Equally the original writer of this question intended the structure

So

so

In the same way the different structure name

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We can nest these (put one inside the other) and one possible way of demonstrating this is:

Set

Set

The mathematical symbols:

Ok so lets do it!

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Thus by substituting for

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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Using