Final answer:
To find x, set the two expressions for f(x) equal to each other, resulting in the equation 7 = 4x - 9. Adding 9 to both sides and dividing by 4 yields x = 4.
Step-by-step explanation:
The question asks to find x given that f(x) = 7 and f(x) = 4x - 9. To find the value of x, we set the two expressions for f(x) equal to each other because they both represent the same function f(x). Therefore, we have the equation 7 = 4x - 9.
To solve for x, we perform the following steps:
- Add 9 to both sides of the equation: 7 + 9 = 4x - 9 + 9, which simplifies to 16 = 4x.
- Divide both sides of the equation by 4: 16 / 4 = 4x / 4, resulting in x = 4.
Thus, the value of x is 4.