Question

Which of the following statements have the same result? Explain each step in solving each one.

f(1) when f(x) = 5x + 1
f−1(3) when f(x) = 2x plus 3, all over 5
3y − 7 = y + 5

Answer 1

Use the equation button.

Answer 2

\[f(1) , f(x) = 5x+1\]
\[f^{-1}(3), f(x) = \frac{ 2x + 3 }{ 5 }\]

Answer 3

f^-1(x) = (5f(x) - 3) / 2 = x

x = f^-1(x) , f(x) = x

f^-1(x) = (5x - 3)/2

f^-1(3) = 15-3/2 = 12/2 = 6

f(1) = 5 * 1 + 1 = 6

3y - 7 = y + 5

2y = 12
y = 6

Answer 4

so 2 and 3 have the same answer. Thank you so much :)

Answer 5

1, 2, 3 ?

Answer 6

Oh. All 3 of them have the answer of 6?