Find the zeros of the function algebraically.
$f ( x ) = \sqrt { 7 x + 4 }$
A) $\frac { 4 } { 7 }$
B) $\frac { 7 } { 4 }$
C) $- 4$
D) $- \frac { 4 } { 7 }$
E) $- \frac { 7 } { 4 }$

Question

Find the zeros of the function algebraically. 
$f ( x ) = \sqrt { 7 x + 4 }$
A) $\frac { 4 } { 7 }$
B) $\frac { 7 } { 4 }$
C) $- 4$
D) $- \frac { 4 } { 7 }$
E) $- \frac { 7 } { 4 }$

Quizplus · Accepted Answer

To find the zeros of the function, we set $f(x)$ equal to zero and solve for x: 
$$\sqrt{7x+4}=0$$
This equation has no real solutions because the square root of a non-negative number can never be zero. Therefore, the function has no zeros. The closest answer choice to this is D, which gives a negative value. However, this is not a zero of the function.

Find the Zeros of the Function Algebraically f(x)=7x+4f ( x ) = \sqrt { 7 x + 4 }f(x)=7x+4​

Find the Zeros of the Function Algebraically $f ( x ) = \sqrt { 7 x + 4 }$