Question

Let f be a function defined by f(x) =5x2++2,x belongs to R. Find a such that f(a) =22.

Answer 1

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Answer 2

Answer:

The value of a is 2 or -2.

Step-by-step explanation:

Given function,

$f(x) = 5x^2 + 2$

Where, x ∈ R ( set of real number )

Put x = a

$f(a) = 5a^2 + 2$

According to the question,

$5a^2 + 2 = 22$

$5a^2 = 20$

$a^2 = 4$

$a=\pm 2$

Hence, the value of a is 2 or -2.