Question

Find the following for the function f(x) = -7x + 3:

a) f(4)
b) f(-2)
c) Solve for x when f(x) = 24

Answer 1

For the function f(x) = -7x + 3, f(4) is -25, f(-2) is 17, and when f(x) = 24, x is -3.

Step-by-step explanation:

To find the requested values for the function f(x) = -7x + 3:

1. f(4): Substitute x with 4 into the function. So, f(4) = -7(4) + 3 = -28 + 3 = -25.
2. f(-2): Substitute x with -2 into the function. Thus, f(-2) = -7(-2) + 3 = 14 + 3 = 17.
3. To solve for x when f(x) = 24, set the function equal to 24 and solve for x: -7x + 3 = 24. Subtract 3 from both sides to get -7x = 21, and then divide both sides by -7 to find x = -3.