Question

Given the functions f(x) = −3x + 51 and g(x) = 3x − 9, find the value of x for which f(x) = g(x).

The value of x for which f(x) = g(x) is x

PLS ANSWER ASAP

Answer 1

x = 10

Explanation:

Step 1: Define

f(x) = -3x + 51

g(x) = 3x - 9

f(x) = g(x)

Step 2: Set up equation

f(x) = g(x)

-3x + 51 = 3x - 9

Step 3: Solve for x

51 = 6x - 9

60 = 6x

x = 10

Step 4: Check

f(10) = -3(10) + 51

f(10) = -30 + 51

f(10) = 21

g(10) = 3(10) - 9

g(10) = 30 - 9

g(10) = 21

f(10) = g(10) = 21