Calculus, 8th Edition,stewart; page 45 problem 61

Question

Let f and g be linear functions with equations f (x) = m1 x+ b1 and g (x) = m2 x+ b2. Is f o g also a linear function? If so, what is the slope of its graph?

Answer 1

Step:1

The linear functions are  and .

Find .

.

Compare the above function with .

Therefore  is a linear function.

Slope of  is .

Solution :

 is a linear function and its slope is .