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

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

trojanpoem · Answer

Use the equation button.

trojanpoem · Answer

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

trojanpoem · Answer

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

anonymous · Answer

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

trojanpoem · Answer

1, 2, 3 ?

anonymous · Answer

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