Question

Let f(x) = 2x+5. If x not equal to 0 then find f (x +2)-f(2)/x

Answer 1

Answer:

$f(x+2)-\frac{f(2)}{x}=\frac{2x^2+9x-9}{x}$

Step-by-step explanation:

Given: f(x) = 2x + 5  and    x ≠ 0

To find: f(x+2)-f(2)/x

Consider,

f(x+2)-f(2)/x

= $2(x+2)+5-\frac{2\times2+5}{x}$

= $2x+4+5-\frac{9}{x}$

= $2x+9-\frac{9}{x}$

= $\frac{2x^2+9x-9}{x}$

Therefore,  $f(x+2)-\frac{f(2)}{x}=\frac{2x^2+9x-9}{x}$