Algebra 2 help! hurry?

Question

Given f(x)=3x+4

1. Is f(x) a function? Why or why not?

2. Find f -1(x).

Is f -1(x) a function? Why or why not?

Answer 1

Yes, it is a function. To be precise it is a linear function.
It is a function because for each x, there is exactly one y.

Inverse:
f(x) = 3x + 4 ---------- y = 3x + 4
swap x and y: x = 3y + 4 and solve for y
3y = x - 4
y = (x - 4)/3

Again, inverse is also a function. you can see it from f(x) already, because f(x) is a one-to-one function.

Good luck

Answer 2

1. A function is a relation that has exactly one output for each input. f(x)=3x+4 is a function. That just says that if you substitute say, 2 for x, you don't get two different answers.
2. To find the inverse of a function, write the original equation.
f(x)=y=3x+4
Switch x with y to get the inverse,
x=3y+4
Subtract four from each side.
x-4=3y
Divide each side by 3
y=1/3x-4/3
3. Yes, f-1(x) is a function. (See Answer to #1)The two relations are called inverse functions.

Answer 3

Is f(x) a function? Why or why not?
yes because f(x) stands for Function (x) unfortunately f(x) is incomplete because there is no given

Find f -1(x).
no beause the operation - 1 is not in the right place

Answer 4

1. Yes; for any value of x there is a unique defined value of f(x).

2. For f^-1(x), write x = f(y), so
x = 3y + 4
=> 3y = x - 4
=> y = (x - 4) / 3
So f^-1(x) = (x - 4) / 3.

f^-1(x) is also a function. For any value of x, (x - 4) / 3 is defined and unique.

Answer 5

yes f(x) is a function of x because it depends on the values of x the independent variable but i don't know what you are asking in part two never seen that form before.