Math

QuestionFind xx such that f(x)4=6f(x) - 4 = 6 using the table values. Choices: A. 2 B. 4 C. 6 D. 8 E. 10

Studdy Solution

STEP 1

Assumptions1. The function f(x)f(x) is defined for six values of xx:,3,4,5,6,10. . The values of f(x)f(x) for these six xx values are given in the table.
3. We are given the equation f(x)4=6f(x)-4=6 and we need to find the value of xx that satisfies this equation.

STEP 2

First, we need to solve the given equation for f(x)f(x).f(x)4=6f(x) -4 =6

STEP 3

Add to both sides of the equation to isolate f(x)f(x).
f(x)=6+f(x) =6 +

STEP 4

Calculate the value of f(x)f(x).
f(x)=6+4=10f(x) =6 +4 =10

STEP 5

Now that we have the value of f(x)f(x), we can find the value of xx that corresponds to this f(x)f(x) value from the table.
From the table, we see that f(x)=10f(x) =10 when x=4x =4.
Therefore, the value of xx that satisfies the equation f(x)4=f(x)-4= is4.
The answer is B.4.

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