Question

Help Me

Answer 1

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 2

Given the following functions f(x) and g(x), solve f[g(10)] and select the correct answer below:

f(x) = 10x + 8

g(x) = x + 9

2,052
98
190
198

Answer 3

Given the functions k(x) = 5x − 8 and p(x) = x − 4, solve k[p(x)] and select the correct answer below.

k[p(x)] = 5x − 12
k[p(x)] = 5x − 28
k[p(x)] = 5x2 − 12
k[p(x)] = 5x2 − 28

Answer 4

Given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below:

f(x) = 6x + 3

g(x) = x − 7

4
17
25
31

Answer 5

Given the following functions f(x) and g(x), solve f over g(−4) and select the correct answer below:

f(x) = 4x − 4

g(x) = x − 1

−20
−4
4
one fourth

Answer 6

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 7

Given the following functions f(x) and g(x), solve for (f ⋅ g)(2) and select the correct answer below:

f(x) = 3x2 + 2

g(x) = x − 8

−42
−84
42
84

Answer 8

@VoltsKing2099 , people here on OS do best helping you if you ask one question per thread. I'll help you here on the first one; if you need more help, then reask your next question by putting it in the Ask a Question box (over on the left, usually)

Answer 9

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 10

Here is one approach -- g(x) = x + 8 is a function. It is just a way to map values of x to new answers. For example if x= 0, g(0) = 0 + 8 = 8
So to make things less complicated, I want to use a different name for the variable in f(x).
Let's just use z instead of x. The 'rule' will stay the same,
f(z) = 10z+25.

With me so far?