## anonymous one year ago Given the functions f(x) = 10x + 25 and g(x) = x + 8, which of the following functions represents f[g(x)] correctly? f[g(x)] = 10x + 33 f[g(x)] = 10x2 + 33 f[g(x)] = 10x + 105 f[g(x)] = 10x2 + 105

1. geerky42

\[f(\color{red}{\textbf{x}}) = 10\color{red}{\textbf{x}}+25\] So \(f(\color{red}{\textbf{g(x)}}) = 10\color{red}{\textbf{g(x)}} + 25 \\~\\~~~~~~~~~~~~~~= 10(\color{red}{\textbf{x+8}})+25 \\~\\~~~~~~~~~~~~~~= \cdots~?\)

2. anonymous

i got 5(2x+21)

3. anonymous

10x+105

4. geerky42

That's correct.

5. anonymous

can you help me with another?

6. geerky42

Sure

7. anonymous

Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0.8g. Local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1.12p. Using this information, which of the following represents the final price of a gaming system with the discount and taxes applied? c(p) + p(g) = 1.92g c[p(g)] = 0.896g g[c(p)] = 1.92p c(p) ⋅ p(g) = 0.896pg

8. anonymous

@geerky42

9. geerky42

What do you think?

10. geerky42

We have original price. We apply discount , then we apply local taxes. Looks like compound functions.

11. anonymous

im confused honestly

12. anonymous

b