Question

If f(x) = 5x - 2 and g(x) = 2x + 1, find (f + g)(x)

Answer 1

Thus, (f + g)(x) = 7x - 1

Explanation:

(f + g)(x) = 7x - 1

Explanation:

Given : f(x) = 5x – 2 and g(x) = 2x + 1

We have to find (f + g)(x)

Consider (f + g)(x) = f(x) + g(x)

Also, given f(x) = 5x – 2 and g(x) = 2x + 1

Substitute, we have,

f(x) + g(x) = 5x - 2 + 2x + 1

LIKE TERMS are terms having same variable with same degree.

Simplify by adding like terms, we have,

f(x) + g(x) = 5x + 2x - 2 + 1

f(x) + g(x) = 7x - 1

Thus, (f + g)(x) = 7x - 1

Answer 2

(f + g)(x) = 7x - 1

Explanation:

Given : f(x) = 5x – 2 and g(x) = 2x + 1

We have to find (f + g)(x)

Consider (f + g)(x) = f(x) + g(x)

Also, given f(x) = 5x – 2 and g(x) = 2x + 1

Substitute, we have,

f(x) + g(x) = 5x - 2 + 2x + 1

Like Terms are terms having same variable with same degree.

Simplify by adding like terms, we have,

f(x) + g(x) = 5x + 2x - 2 + 1

f(x) + g(x) = 7x - 1

Thus, (f + g)(x) = 7x - 1