Question

Given f(x) = -7x + 3, find the
domain if the range is 10.

Answer 1

1 <= x

Explanation:

Domain = x values

It can be 10 or below 10.

10 >= -7x + 3

7 >= -7x

/ -7. /-7

1 <= x

Sign switched since divided by negative #. I'm in calc 2 so just double-check this. Kinda forget how to do math like this at times.

Answer 2

To find the domain of the function f(x) = -7x + 3 when the range is 10, we need to solve for x.

Let y = f(x) = -7x + 3

Since we know that the range of the function is 10, we can set y = 10 and solve for x.

10 = -7x + 3

7x = -7

x = -1

Therefore, the only value of x that produces a range of 10 is x = -1.

Thus, the domain of the function is { -1 }.