Question

The function g left(xright)=fracx−−3 is not defined for x=___________________.

a.7

b.\\(frac{5}{7}\\)

c.5

d.\\(frac{7}{5}\\)

Answer 1

Note: Given function is $g(x)=\frac{x−3}{5x-7}$ .

Given function is not defined when the denumerator is zero.

Denumerator is zero when $5x-7=0$ $\implies 5x = 7 \implies x =\frac{7}{5}$.

Hence the given function is not defined at $x = \frac{7}{5}$.

Correct option is option (d).