Question

Let f()=²-9, and g()=7. Find all values for the variable for which f() = g() =7.

Answer 1

To find all values of the variable x for which f(x) = g(x) = 7, set the two functions equal to each other and solve for x. The values for x that satisfy f(x) = g(x) = 7 are x = 4 and x = -4.

Step-by-step explanation:

To find all values of the variable x for which f(x) = g(x) = 7, we can set the two functions equal to each other and solve for x.

Given f(x) = x^2 - 9 and g(x) = 7, we have x^2 - 9 = 7. Adding 9 to both sides gives x^2 = 16. Taking the square root of both sides gives x = ±4.

Therefore, the values for x that satisfy f(x) = g(x) = 7 are x = 4 and x = -4.