The input values that provides the same output values for the two given given plotted on the graph above is the value of x of the point where the line of the two functions intersect each other. At that point, the input value (x value) and the output values (y value) for both functions are the same.

Answer: Option C. x = 1 is the answer.

1 is the input value that produces the same output value. If you go through the given data carefully, you can see that the input values are same for both of the functions.

Answer Expert Verified From the graph , the input value is approximately 3.3 . In the graph, And for g(x), we need the slope and y intercept .

What this question is really asking is for what value of x is the equation g(x) equal to 3. In other words, for what value of x does y = 3. From looking at the graph, we can see that y = 3 when x = 9. Therefore, x = 9 is our answer.

To find f(-1), we look for the value under f(x) that corresponds to x=-1. This value is 0.

The value of f(-3) is found by substituting -3 into the equation per variable, solving and simplifying as needed, to get the answer. For instance if f(x)=3x^2, the value of f(-3) is 3(-3)^2, which is 27.

There is no value of x for which f(x) = 6 and therefore f -1(6) is undefined.

Finding the Inverse of a Function

1. First, replace f(x) with y .
2. Replace every x with a y and replace every y with an x .
3. Solve the equation from Step 2 for y .
4. Replace y with f−1(x) f − 1 ( x ) .
5. Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.