Q. 1 E4.0( 4 Votes )

# Find gof and fog

Since, f:R R and g:R R

fog:R R and gof:R R

f(x) = x2 + 2x – 3 and g(x) = 3x – 4

Now, gof(x)=g(f(x))= g(x2 + 2x – 3)

gof(x) = 3(x2 + 2x–3) – 4

gof(x)= 3x2 + 6x – 9 – 4

gof(x) = 3x2 + 6x – 13

and, fog= f(g(x)) = f(3x – 4)

fog(x) = (3x – 4)2 + 2(3x – 4) – 3

= 9x2 + 16 – 24x + 6x – 8 – 3

fog(x) = 9x2 – 18x + 5

Thus, gof(x) = 3x2 + 6x – 13 and fog(x) = 9x2 – 18x + 5

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Fill in theMathematics - Exemplar

Let f : [2, ∞) <sMathematics - Exemplar

Let f : N Mathematics - Exemplar

Fill in theMathematics - Exemplar

Let f :R →<Mathematics - Exemplar

Let f : [0, 1] <sMathematics - Exemplar

Which of the follMathematics - Exemplar