If f(x) and its inverse function, f–1(x),
2 answers:
Answer:
Option d) (3,3)
Step-by-step explanation:
A function f(x) and its inverse f^(-1) (x) are symmetrical with respect the right line y=x, then their point of intersection is when they cross the right line y=x. In the attached graph we draw the right line y=x, and the function f(x) crooses this line at the point (3,3), then this point is their intersection point.
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The solution to the quadratic equation are option C) x= -5 and option E) x=3.
<u>Step-by-step explanation</u>:
The given quadratic equation is x²+2x-15 = 0.
Using the factorization method,
- product of the roots should be -15.
- Sum of the roots should be 2.
⇒ -15 = 5 -3
⇒ 2 = 5+(-3)
(x+5)(x-3) = 0
Therefore, x = -5 and x = 3