f(0) = -2
g(-1) = undefined.
The value of real numbers x so that f(x) = -3 : None
Step - by - Step Explanation
What to find?
• f(0)
,
• g(-1)
,
• The value of all real numbers x so that f(x) = -3
Given:
f(x) =x² - 2
g(x) = x/x+1
To find f(0), substitute x = 0 into the function f(x).
That is;
f(0) = (0)² - 2
f(0) = -2
To find g(-1), substitute x = -1 into the function g(x)
= undefine.
All real numbers so that f(x) = -3.
This implies we are to find the value of x when f(x) = -3.
To do that, substitute f(x) = -3 into the function f(x) and solve for x.
That is;
-3 =x² - 2
x² - 2 = -3
Add 2 to both-side of the equation.
x² = -3 + 2
x² = -1
Take the square root of both-side.
x =±√-1
x = ±i
The square root of -1 gives and imaginary number.
This implies there is no real number that makes f(x) =-3.