x = 2
Image to Text
x | f(x)
-2 | 3
-1 | 3
0 | 3
1 | 3
2 | 3
3 | 3
x | g(x)
-2 | 4
-1 | 3
0 | 2
1 | 1
2 | 0
3 | -1
Summary
The image shows two tables comparing the values of two functions, f(x) and g(x), over the same range of x values from -2 to 3. The function f(x) remains constant at 3 for all x values, while g(x) decreases linearly from 4 to -1 as x increases from -2 to 3.
The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x) = g(x) is true? x=??? SAY THE CORRECT ANSWER AND STRAIGHTFOWARDLY
5 answers
-2 | 3
-1 | 3
0 | 3
1 | 3
2 | 3
3 | 3
x | g(x)
-2 | 4
-1 | 3
0 | 2
1 | 1
2 | 0
3 | -1
THE ANSWER ISNT 2
The input value for which f(x) = g(x) is true is x = -1.
image shows y = f(x)
y = g(x)
To find the value of \( x \) for which \( f(x) = g(x) \), we can set the functions equal to each other:
\[ -3x + 4 = 2 \]
Now, solve for \( x \):
-
Subtract 4 from both sides: \[ -3x = 2 - 4 \] \[ -3x = -2 \]
-
Divide by -3: \[ x = \frac{-2}{-3} = \frac{2}{3} \]
The value of \( x \) for which \( f(x) = g(x) \) is \( x = \frac{2}{3} \).