one way is to solve for the invers of the first function
remembe, to solve, replace f(x) or g(x) with y, switch x and y, solve for y and replace it with f⁻¹(x)
A.
f(x)=x/2+8
y=x/2+8
x=y/2+8
x-8=y/2
2x-16=y
f⁻¹(x)=2x-16
nope, not A
B.
f(x)=3x³+16
y=3x³+16
x=3y³+16
x-16=3y³
(x-16)/3=y³
∛((x-16)/3)=y
f⁻¹(x)=∛((x-16)/3)
nope, not the same
not B
C.
f(x)=18/x-9
y=18/x-9
x=18/y-9
x+9=18/y
y(x+9)=18
y=18/(x+9)
f⁻¹(x)=18/(x+9)
correct, the answer is C
answer is C
Answer:
1/3x +1/3
Step-by-step explanation:
2/3x + 1/3 - 1/3x
Combine like terms
2/3 x - 1/3x +1/3
1/3x +1/3
1. Convert the mixed fractions to a decimal.
2 1/4 is 2.25
1 2/4 is 1.5
2. Add them up.
3. 3.75 as a decimal or 3 3/4 as a mixed fraction or 15/4 as a improper fraction.
Answer:
1) 1) 97 – 39. It becomes
100 - 40 = 60
2)2) 812,344 – 187,675. It becomes
800000 - 200000 = 600000
3)321 + 79. It becomes
300 + 80 = 410
4) 315 x 821. It becomes
300 + 800 = 1100
5) 562 x 791. It becomes
600× 800 = 480000
6) 82 x 156. It becomes
80×200 = 16000
7) 711 x 884. It becomes
700×900 = 630000
8) 126 x 952. It becomes
100×1000 = 100000
9) 824 x 541. It becomes
800× 500 = 400000
10) 4027 x 78. It becomes
4000×80 = 320000
11) 796 x 123. It becomes
800×100 = 80000
12) 817 19. It becomes
800/20 = 40
13) 3615 72. It becomes
4000/70 = 57.1 = 60
14) 232 64. It becomes
200/60 = 33.3 = 30
15) 559 81. It becomes
600/80 = 7.5 = 8
16) 2986 222. It becomes
3000/200 = 15
17) 10275 232. It becomes
10000/200 = 50
18) 7428 286. It becomes
7000/300 = 23.3 = 20
19) 7143 369. It becomes
7000/400 = 17.5 = 18
20) 628,597 1525, it becomes
600000 - 2000 = 300
Step-by-step explanation:
Answer:
<h3>A. ( x - 2 )( x - 3 )(x + 4 )</h3>
<h3>
Step-by-step explanation:</h3>
<h3>x³ - x² - 14x + 24</h3>
<h3>1. Use the rational root theorem</h3>
<h3>2.
</h3><h3 />
= ( x - 2 )( x² + x - 12 )
<h3>3. Factor x² + x - 12 : ( x -3 )( x + 4)</h3>
= ( x - 2 )( x - 3 )(x + 4 )
<h3>Solution : </h3>
<h3>= ( x - 2 )( x - 3 )(x + 4 )</h3>
