$f(x) = \frac{1}{x} \\ \\ g(x) = x - 2 \\ \\ \implies \: f(g(x)) = \frac{1}{x - 2} \\ \\ \implies \: f(g(1)) = \frac{1}{1 - 2} \\ \\ \implies \: f(g(1)) = \frac{1}{ - 1} \\ \\ \implies \: f(g(1)) = - 1$

8 0

1 year ago

Joanne budgets $880 each month for fixed expenses. What percent of her net monthly income is that if she nets $1960 semimonthly

Alex Ar [27]

B: 36% i hope i helped u out

7 0

2 years ago

Read 2 more answers

A horseback riding trail is 1 mi 40.8 ft long. How long is the trail in yards, feet, and inches?

ch4aika [34]

Answer: 1773.6 yards 5320.8 feet 64324.8 inches

Step-by-step explanation:

1 mile in yards = 1760 40.8 feet in yards = 13.6 1760 + 13.6 = 1773.6 yards

1 mile in feet = 5280 + 40.8 = 5320.8 feet

1 mile in inches = 63360

40.8 feet in inches = 964.8

63360 + 964.8 = 64324.8 inches

hope this helps :)

6 0

2 years ago

What adds ups to 5 but multiplies to give you 12

qaws [65]

X + y = 5
  xy = 12

x + y = 5
y = -x + 5

  xy = 12
  x(-x + 5) = 12
  x(-x) + x(5) = 12
-x² + 5x = 12
- 12 - 12
-x² + 5x - 12 = 0
x² - 5x + 12 = 0
x = 5 ± √25 - 48
2
x = -5 ± √-23
2
x = -5 ± 4.79i
2
x = -5 + 4.79i or x = -5 - 4.79i
2 2
x = -2.5 + 2.395i or x = -2.5 - 2.395i
y = -2.5 - 2.395i or y = -2.5 + 2.395i

The two numbers that add up to 5 and multiply to 12 is -2.5 ± 2.395i, which is -2.5 + 2.395i and -2.5 - 2.395i.

6 0

2 years ago