Let f(x) = x² + x - 6 and g(x) = 3x - 6, what are f ⋅ g and f/g. state the resulting function and it's domain.

Domain: All real numbers

Domain: x≠2

Step-by-step explanation:

The given functions are

and

This implies that:

We expand to get:

We expand to get:

We group like terms to get:

This is a polynomial function, the domain is all real.

Also;

Factor to get:

Cancel common factors:

The domain is all real numbers, except numbers that will make the denominator zero.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.