Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
<h3>Inverse of functions</h3>
In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))
Given the function
f(x)= 5-3x/2 and
g(x)= 5-2x/3
f(g(x)) = f(5-2x/3)
Substitute
f(g(x)) = 5-3(5-2x)/3)/2
f(g(x)) = (5-5+2x)/2
f(g(x)) = 2x/2
f(g(x)) = x
Similarly
g(f(x)) = 5-2(5-3x/2)/3
g(f(x)) = 5-5+3x/3
g(f(x)) = 3x/3
g(f(x)) =x
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
Learn more on inverse of a function here: brainly.com/question/19859934
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Answer:
1. 1458
2. 500 or -500
Step-by-step explanation:
1. a4=54, a5=162
r = 162/54 = 3
a7 = a5 × r²
= 162 × 3² = 1458
2.a4=-4, a6=-100
r² = -100/-4 = 25
r = +/- 5
a7 = a6 × r
= -100 × +/- 5
= +/- 500
Possible facing a jury and being healed in jail, hiring a layer and going to court
Answer:
Dylan will not have enough money. He needs $22.65 but only has $22.50
Step-by-step explanation:
If Dylan's mom replaces each dime with a quarter, then Dylan will have 90 quarters.
1 Quarter = $0.25
90 x .25 = $22.50
The game costs $20.98 plus 8% sales tax
So 20.98 x .08 = <em>$</em><em>1.6784</em>
20.98 + 1.6784 = $22.65
<em>Dylan</em><em> </em><em>will</em><em> </em><em>not</em><em> </em><em>have</em><em> </em><em>enough</em><em> </em><em>money</em><em> </em><em>because</em><em> </em><em>he</em><em> </em><em>only</em><em> </em><em>has</em><em> </em><em>$</em><em>2</em><em>2</em><em>.</em><em>5</em><em>0</em><em> </em><em>when</em><em> </em><em>he</em><em> </em><em>needs</em><em> </em><em>$</em><em>2</em><em>2</em><em>.</em><em>6</em><em>5</em>
