T) The function \( f(x)=2 x+5 \) is one-to-one. a. Find an equation for \( f^{-1} \), the inverse function. b. Verity that your equation is correct by showing that \( f\left(f^{-1}(x)\right)=x \) and \( f^{-1}(f(x))=x \).

ii) \( \frac{4 x^{2}+3 x+7}{x+1} \)

5. Separen en términos y resuelvan. a. \( \left(-\frac{4}{3}+\frac{1}{6}\right)-\left(-\frac{3}{2}\right)^{-2}+\sqrt[3]{\left(\frac{3}{4}+\frac{1}{8}\right)-} \) b. \( \left(\frac{3}{2}-\frac{1}{2}\right)^{2}+\sqrt[3]{-\frac{1}{64}}-0.5= \) c. \( \sqrt[3]{1-\frac{7}{8}}-\left(-\frac{2}{5}+\frac{1}{10}\right)^{-4}+0.3- \) d. \( -\left(\frac{8}{5}-\frac{6}{15}\right)-\sqrt[3]{1-\frac{31}{32}}+\left(\frac{7}{5}\right)^{2}= \)

d the exact value of the solution to the equation \( 2 e^{2 x}-7 e^{x}-4=0 \)

\( \therefore \sqrt { x } ( x ^ { \frac { 5 } { 2 } } + x ^ { 2 } + 5 ) \)

Question 8 ( 3 marks) What is the equation of the line that passes through the points \( (1,6) \) and \( (3,2) \) ? \( y=\square x+\square \)