Find the domain, X-Intercept, and h(x) - In(x + 2) Step 1 The domain of the logarithmic function is (0, 00). So, the function h(x) is defined only if x + 2 0. Solve this inequality. -2 Give the domain of this function. (Enter your answer using interval notation.) (-2,00) (-2, 00) Step 2 Recall that the x-intercept is the value of x when the function is equal to zero. Rewrite, by setting the function equal to zero. In(x + 2) = 0 Rewrite this equation without logarithms. x + 2 = 0 Solve for x. X = -2 Therefore, the x-intercept is (х, у) -

Find the domain, X-Intercept, and h(x) - In(x + 2) Step 1 The domain of the logarithmic function is (0, 00). So, the function h(x) is defined only if x + 2 0. Solve this inequality. -2 Give the domain of this function. (Enter your answer using interval notation.) (-2,00) (-2, 00) Step 2 Recall that the x-intercept is the value of x when the function is equal to zero. Rewrite, by setting the function equal to zero. In(x + 2) = 0 Rewrite this equation without logarithms. x + 2 = 0 Solve for x. X = -2 Therefore, the x-intercept is (х, у) -

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 52RE

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