Which of the following statements have the same result? Explain each step in solving each one.. . I f(3) when f(x) = 3x + 2. II f-1(4) when f(x) = 2x minus 7, all over 3. III 2y…

Question

asked Nov 8, 2020 14.2k views

1 Answer

Klobucar · Answer 1 · 2020-11-15T13:56:38+0000

Answer:

None, because
$11\\eq 9.5\\eq 8.$

Explanation:

I. When
f(x)=3x+2, then

$f(3)=3\cdot 3+2=9+2=11.$

II. Find the inverse function
f^(-1)(x) for the function
f(x)=(2x-7)/(3).

$y=(2x-7)/(3),\\ \\3y=2x-7,\\ \\2x=3y+7,\\ \\x=(3y+7)/(2),\\ \\f^(-1)(x)=(3x+7)/(2).$

Thus,

$f^(-1)(4)=(3\cdot 4+7)/(2)=(12+7)/(2)=(19)/(2)=9.5.$

III. Solve the equation
2y+14=4y-2:

$14+2=4y-2y,\\ \\16=2y,\\ \\y=16:2=8.$