Mathematics 10 — Exercise 4.1 · Q5 (i)

Full question

For f(x)=3x+2 and g(x)=2x+3, find g(f(4)).

Step-by-step solution

1. Evaluate the inner function first.

   $$2+3\times 4$$

2. Calculate this operation before combining the remaining terms.

   $$3\times 4=12$$

3. Calculate this operation before combining the remaining terms.

   $$2+12=14$$

4. Use this whole result as the outer function input.

   $$3+2\times 14$$

5. Calculate this operation before combining the remaining terms.

   $$2\times 14=28$$

6. Calculate this operation before combining the remaining terms.

   $$3+28=31$$

7. This is the required composed value.

   $$31$$

Answer

The final answer is shown below.