Suppose that the functions g and h are defined as follows. g(x)=-5+4x^2 h(x)=4-9x (a) Find ((g)/(h))(3) (b) Find all values that are NOT in the domain of (g)/(h) If there is more than one value, separate them with commas. (a) ((g)/(h))(3)=square (b) Value(s) that are NOT in the domain of (g)/(h):square

Question

Answer 1

(a) To find

, we need to substitute

into both

and

and then divide the result of

by the result of

.First, let's find

:

Next, let's find

:

Now, we can find

:

Therefore,

.(b) The values that are NOT in the domain of

are the values for which

, since division by zero is undefined.To find these values, we set

and solve for

4 - 9x = 0

9x = 4

x = \frac{4}{9}

\frac {g}{h}

\frac{4}{9}

(\frac {g}{h})(3) = -\frac{31}{23}

\frac {g}{h}

\frac{4}{9}$

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