Solve the Problem $f ( x ) = \sqrt { x + 1 }$

question 219

Multiple Choice

Solve the problem.
-Find an equation of the tangent to the curve $f ( x ) = \sqrt { x + 1 }$ that has slope $\frac { 1 } { 4 }$ .

• A) \(y = - \frac { 1 } { 4 } x + \frac { 5 } { 4 }\)
• B) \(y = \frac { 1 } { 4 } x + \frac { 5 } { 4 }\)
• C) \(y = \frac { 1 } { 4 } x - \frac { 5 } { 4 }\)
• D) \(y = \frac { 1 } { 4 } x\)

---

Definitions:

Times Interest Earned

Times Interest Earned, or TIE, is a financial ratio that compares a company’s operating income to its interest expenses to measure its ability to meet debt obligations.

Interest Expense

The cost incurred by an entity for borrowed funds; this expense is a non-operating cost that appears on the income statement.

Decimal Place

The position of a number to the right of a decimal point, indicating the precision or fractional part of the number.

Stockholders' Equity

The residual interest in the assets of a corporation after deducting liabilities, representing the ownership equity held by stockholders.