Due to "order of operations" rules, you MUST do the multiplication -5(12x+8) first, eliminating the parentheses long the way:

8 - 60x - 40

Now combine the 8 and -40 and rewrite the entire answer in 2 (not 3) terms.

8 0

3 years ago

Need help with a and b parts

Masja [62]

Answer:

a) 10/27 or 0.37037

b) -8/7

Step-by-step explanation:

a) Enter x=-5 into both equations and divide h(-5)/g(-5). That yields 10/27 or 0.37037037037 . . .

b) g(x) cannot be 0 (can't divide by 0. That would occur if x = -8/7, so it (-8/7) is not in the domain.

6 0

3 years ago

Express the following function, as a composition of two functions f and g. h(x)= x^2/(x^+4)

soldi70 [24.7K]

According to defintion of compostion of functions, we can get:

$(f\circ g)(x)=f(g(x))$

But we know, that:

$\displaystyle h(x)= \frac{x^2}{x^2+4}$

Our goal, is to express that function as a composition:

$(f\circ g)(x)=h(x) \Rightarrow f(g(x))=h(x)$

I.e:

$\displaystyle f(g(x))=\frac{x^2}{x^2+4}$

If $\displaystyle f(y)= \frac{y}{y+4}$ then $g(x)=x^2$ . Hence, $\displaystyle h(x)=(f\circ g)(x)=f(g(x))= \frac{g(x)}{g(x)+4} \Rightarrow f(g(x))=f(x^2)= \frac{x^2}{x^2+4}$

4 0

3 years ago