For the function

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

For the function

f(x)=\dfrac{3x-5}{2x+7}

, answer the following: (i) State the meaning of the range of a real-valued function. (ii) Show that

y=\dfrac{3}{2}

does not belong to the range of

f

. (iii) Determine the set of all real numbers

y

for which the equation

f(x)=y

possesses a real solution.