Suppose f and g are continuous functions such that g46 and l

Suppose f and g are continuous functions such that g(4)=6 and lim x->4 [3f(x)+f(x)g(x)] = 45. Find f(4). ... (How do I begin solving this problem? Step by step assist please)

Solution

we have,

[3f(4)+f(4)g(4)] = 45

So,

3f(4) + f(4) 6 = 45

So, 9f(4) = 45

So, f(4) = 5

:)