Answer:
x - 11
Step-by-step explanation:
Let f(x) = -5x - 4 and g(x) = 6x - 7.
f(x) + g(x)
I like to line them up vertically
-5x - 4
6x - 7
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x-11
Answer:
Step-by-step explanation:
Rearrange each function to solve for x.
Switch x and y,
The resulting equation is the inverse function.
A:
f(x) = y = 5+x
x = y-5
y = x-5
f⁻¹(x) = x-5
g(x) = 5-x ≠ f⁻¹(x)
g(x) is not the inverse of f(x).
:::::
B:
f(x) = y = 2x-9
x = (y+9)/2
y = (x+9)/2
f⁻¹(x) = (x+9)/2
g(x) = (x+9)/2 = f⁻¹(x)
g(x) is the inverse of f(x).
:::::
C:
f(x) = y = 2/x - 6
x = 2/(y+6)
y = 2/(x+6)
f⁻¹(x) = 2/(x+6)
g(x) = (x+6)/2 ≠ f⁻¹(x)
:::::
D:
f(x) = y = x/3 + 4
x = 3y - 12
y = 3x - 12
f⁻¹(x) = 3x - 12
g(x) = 3x - 4 ≠ f⁻¹(x)
g(x) is not the inverse of f(x).
Answer:
225 adult tickets
Step-by-step explanation:
S: no. of students
A: no. of adults
S = A + 54
S + A = 504
A + A + 54 = 504
2A = 450
A = 225
S = 225 + 54
S = 279
Answer:
Step-by-step explanation:
<u>Work hours Monday till Friday:</u>
- 3.5 + 5 + 2.5 + 4 + 2 = 18 hours
<u>Payment for 5 days:</u>
- 15*$8 + (18 - 15)*$10 = $150
<u>Payment for Saturday:</u>
<u>Total payment:</u>