Question

Which comparison is correct for the values of f(x) and g(x) when x = -3

Function A : f(x) = -x^2 +4
Function B

A. F(-3) < g(-3)
B. F(-3)>g (-3)
C. F(-3) = g(-3)

Answer 1

Choice A is the answer.

Explanation:

We have given the values of function and a equation of function.

f(x) = -x² +4

We have to find the relation between both function when x = -3.

From table, we observe that

g(-3) = 1

Now, Putting x = -3 in f(x), we have

f(-3) = -(-3)²+4

f(-3) = -9+4

f(-3) = -5

Hence, -5 < 1

f(-3) < g(-3) which is the answer.

Answer 2

A) g(-3) < g(-3)

Explanation:

Given: f(x) = -x^2 + 4

When x = -3, f(-3) = - (-3)^2 + 4

Now we have to simplify it.

f(-3) = -9 + 4

f(-3) = -5

Now we have to find g(-3) from the given table.

When x = -3, g(-3) = 1 from the given table values.

We found f(-3) = -5 and g(-3) = 1

Here -5 < 1

Therefore, f(-3) < g(-3)

Answer is A) g(-3) < g(-3)

Hope you will understand the concept.

Thank you.