The qudractic function is
.
To find the x-intercept.
\
(Substitute f (x) = 0) \ \
The equation compare to quadratic equation, then a = 4, b =
9 and c = 4.
Quadratic formula:
.
(Substitute a = 4, b =
9 and c = 4)
(Product of two same signs is positive)
(Evaluate power:
)
(Simplify)
(Subtract:
)
Using calculator and Evaluate square roots:
.

Separate the solutions
.
(Simplify)
(Divide:
)
The solution set is
.