If the domain of the square root function f(x) is , which statement must be true?

Asked by maham237 @ 24/12/2020 in Mathematics viewed by 500 People

If the domain of the square root function f(x) is x<=7, which statement must be true?
7 is subtracted from the x-term inside the radical.
The radical is multiplied by a negative number.
7 is added to the radical term.
The x-term inside the radical has a negative coefficient.

Answered by maham237 @ 24/12/2020

Consider the funcion $y=\sqrt{x}$ . The dmain of this function is $\ge 0$ and the range is $y\ge 0$ .

Now if $x\le 7$ you can calculate that

$x-7\le 0,\\ 7-x\ge 0$

and the function $y=\sqrt{7-x}$ will have the domain $x\le 7$ (state this using that expression under the root is $\ge 0$ ).

As you can see the x-term inside the radical has a negative coefficient.

Answer: correct choice is D.

If the domain of the square root function f(x) is , which statement must be true?

Similar Questions

If f(x) is an odd function, which statement about the graph of f(x) must be true?

Which statement is true about the discontinuities of the function f(x)?

Which statements are true about the graph of the function f(x) = x2 – 8x + 5? check all that apply.

According to the rational root theorem, which statement about f(x) = 12x3 – 5x2 + 6x + 9 is true?

If a polynomial function f(x) has roots –8, 1, and 6i, what must also be a root of f(x)?

If a polynomial function f(x) has roots 0, 4, and , what must also be a root of f(x)?

If a polynomial function f(x) has roots –9 and 7 – i, what must be a factor of f(x)?

If a polynomial function f(x) has roots 3 and mc001-1.jpg, what must also be a root of f(x)?

If a polynomial function f(x) has roots 0, 4, and mc002-1.jpg, what must also be a root of f(x)?

If wxyz is a square which statements must be true

Domain of the square root of x

Is y square root of x 2 a function

Which statements accurately describe the function f(x) = 3? check all that apply.

If f(x) = (xm + 9)2, which statement about f(x) is true?

What is the domain of the step function f(x) = ⌈2x⌉ – 1?

Most viewed questions in Mathematics

Unit 6 similar triangles homework 2 similar figures answer key

All things algebra unit 7 polygons and quadrilaterals answer key

Gina wilson all things algebra 2016 answer key unit 11

Unit 1 geometry basics homework 4 angle addition postulate answers

Unit 6 exponents and exponential functions homework 8 answer key

The manager of a vacation resort believes that the ages

What is 271 403 rounded to the nearest ten thousand

Unit 1 geometry basics homework 3 angle relationships answer key

Homework 2 parallelograms

Why would a prism beat a sphere in a competition?

John wants to send a letter to peter

An artist sells a painting for 20.50 but uses 5.75

Unit 4 congruent triangles homework 1 classifying triangles answer key

Unit 4 congruent triangles homework 2 angles of triangles

Compare the values of the 2s and 5s in 55220