Question

Given the function f(x) = -7x + 3, calculate the following:

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

Answer 1

To answer the student's question for f(x) = -7x + 3: f(4) = -25, f(-2) = 17, and when f(x) = 24, x = -3.

Step-by-step explanation:

To solve the given problems for the function f(x) = -7x + 3, we follow these steps:

1. Find f(4): Substitute x = 4 into the function.
2. Find f(-2): Substitute x = -2 into the function.
3. Solve for x when f(x) = 24: Set the function equal to 24 and solve for x.

a) Find f(4):
We substitute 4 for x in the function:

f(4) = -7(4) + 3 = -28 + 3 = -25

b) Find f(-2):
We substitute -2 for x in the function:

f(-2) = -7(-2) + 3 = 14 + 3 = 17

c) Solve for x when f(x) = 24:
We set the function equal to 24 and solve for x:

-7x + 3 = 24

-7x = 24 - 3

-7x = 21

x = 21 / -7

x = -3