If f(x) = 3x2 1 and g(x) = 1 – x, what is the value of (f –
g.(2)?
a. 12
b. 14
c. 36
d. 38

F(x) = 3x^2 + 1
g(x) = 1 - x
(f - g)(x) = 3x^2 + 1 - (1 - x) = 3x^2 + 1 - 1 + x = 3x^2 + x
(f - g)(2) = 3(2)^2 + 2 = 3(4) + 2 = 12 + 2 = 14.

If f(x) = 3x² + 1 and g(x) = 1 – x, the value of (f – g)(2) is 14

Further explanation

Function is a relation which each member of the domain is mapped onto exactly one member of the codomain.

There are many types of functions in mathematics such as :

Linear Function → f(x) = ax + bQuadratic Function → f(x) = ax² + bx + cTrigonometric Function → f(x) = sin x or f(x) = cos x or f(x) = tan xLogarithmic function → f(x) = ln xPolynomial function → f(x) = axⁿ + bxⁿ⁻¹ + ...

Recall the formulas related to the function such as :

Let us now tackle the problem!

Given:

Unknown:

Solution:

Learn moreInverse of Function : linkRate of Change : linkGraph of Function : linkAnswer details

Grade: High School

Subject: Mathematics

Chapter: Function

Keywords: Function , Trigonometric , Linear , Quadratic

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