Question

Please help find all values of 'c' satisfying the given conditions:

Given the function f(x) = x^2 - 6x + 15, find the values of 'c' such that f(c) = 7.

Answer 1

To find the values of 'c' such that f(c) = 7 for the given function f(x) = x^2 - 6x + 15, substitute 7 for f(x) in the function and solve for 'c'. The solutions for 'c' are 2 and 4.

Step-by-step explanation:

To find the values of 'c' such that f(c) = 7 for the given function f(x) = x^2 - 6x + 15, we need to substitute 7 for f(x) in the function and solve for 'c'.

We have f(c) = c^2 - 6c + 15 = 7.

Rewriting the equation, c^2 - 6c + 8 = 0.

Using factoring or the quadratic formula, we find that the solutions for 'c' are 2 and 4.