Question

Which represents where f(x) = g(x)? f(2) = g(2) and f(0) = g(0) f(2) = g(0) and f(0) = g(4) f(2) = g(0) and f(4) = g(2) f(2) = g(4) and f(1) = g(1)

Answer 1

$\sf { \underline{SOLUTION}}$

TO CHOOSE THE CORRECT OPTION

Which represents where f(x) = g(x)

• f(2) = g(2) and f(0) = g(0)

• f(2) = g(0) and f(0) = g(4)

• f(2) = g(0) and f(4) = g(2)

• f(2) = g(4) and f(1) = g(1)

CONCEPT TO BE IMPLEMENTED

Two functions f and g are said to be equal if following conditions must hold :

(i) f and g have same domain D

(ii) for all x ∈ D, f(x) = g(x)

EVALUATION

Here we have to choose the correct option which represents where f(x) = g(x)

Taking it in consideration that f(x) & g(x) are defined on a same domain

f(x) = g(x) if they have equal value for every value of x in the domain

Hence f(2) = g(2) and f(0) = g(0)

FINAL ANSWER

The correct option is

f(2) = g(2) and f(0) = g(0)

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. let f be a function whose domain is the set of all real number.if f(x) =|x|-x, what is the range of f

https://brainly.in/question/25612186

2. Use Rolles Theorem to find a real number in the interval (0,3) Where the derivative of the function f(x)=x(x-3)^2 Vanish

https://brainly.in/question/22736169