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91Ó°ÊÓ

Problem 88

Add or subtract as indicated. See Section 7.4. $$ \frac{3 x}{x+3}+\frac{9}{x+3} $$

Problem 88

Graph each function by finding ordered pair solutions, plotting the solutions, and then drawing a smooth curve through the plotted points. $$ f(x)=-2 e^{x} $$

Problem 89

Graph each function by finding ordered pair solutions, plotting the solutions, and then drawing a smooth curve through the plotted points. $$ f(x)=\ln x $$

Problem 89

Add or subtract as indicated. See Section 7.4. $$ \frac{m^{2}}{m+1}-\frac{1}{m+1} $$

Problem 90

Graph each function by finding ordered pair solutions, plotting the solutions, and then drawing a smooth curve through the plotted points. $$ f(x)=\log x $$

Problem 90

Add or subtract as indicated. $$ \frac{5}{y+1}-\frac{4}{y-1} $$

Problem 91

Solve. See the Concept Check in this section. Let \(f(x)=\log _{5} x .\) Then \(g(x)=5^{x}\) is the inverse of \(f(x) .\) The ordered pair \((2,25)\) is a solution of the function \(g(x)\) a. Write this solution using function notation. b. Write an ordered pair that we know to be a solution of \(f(x)\) c. Use the answer to part b and write the solution using function notation.

Problem 92

Graph each function by finding ordered pair solutions, plotting the solutions, and then drawing a smooth curve through the plotted points. $$ f(x)=3 \ln x $$

Problem 92

Solve. See the Concept Check in this section. Let \(f(x)=\log _{0.3} x .\) Then \(g(x)=0.3^{x}\) is the inverse of \(f(x)\) The ordered pair \((3,0.027)\) is a solution of the function \(g(x)\) a. Write this solution using function notation. b. Write an ordered pair that we know to be a solution of \(f(x)\) c. Use the answer to part b and write the solution using function notation.

Problem 93

Graph each function by finding ordered pair solutions, plotting the solutions, and then drawing a smooth curve through the plotted points. $$ f(x)=\log (x+2) $$

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