Question

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

Answer 1

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

Answer 2

i got 5(2x+21)

Answer 3

10x+105

Answer 4

That's correct.

Answer 5

can you help me with another?

Answer 6

Sure

Answer 7

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

Answer 8

@geerky42

Answer 9

What do you think?

Answer 10

We have original price. We apply discount , then we apply local taxes.

Looks like compound functions.

Answer 11

im confused honestly

Answer 12

b