What is the f(a)=21a^2+13a-2 ?

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f(a)=21a^2+13a-2

f (a) = 21 a^{2} + 13 a - 2

Domain : - \infty < a < \infty

Range : f (x) \geq - \frac{337}{84}

X Intercepts : (\frac{- 13 + 337}{42}, 0), (\frac{- 13 - 337}{42}, 0), Y Intercepts : (0, - 2)

Inverse : \frac{- 13 + 84 a + 337}{42}, \frac{- 13 - 84 a + 337}{42}

Solution steps

Domain of

21 a^{2} + 13 a - 2 : - \infty < a < \infty

Range of

21 a^{2} + 13 a - 2 : f (x) \geq - \frac{337}{84}

Axis interception points of

21 a^{2} + 13 a - 2 :

X Intercepts

: (\frac{- 13 + 337}{42}, 0), (\frac{- 13 - 337}{42}, 0),

Y Intercepts

: (0, - 2)

Inverse of

21 a^{2} + 13 a - 2 : \frac{- 13 + 84 a + 337}{42}, \frac{- 13 - 84 a + 337}{42}

f (x) = x^{2021} + 2 x^{2019} + 3 x + 1

y = (4 x^{5} - 8 x)^{4}

f (x) = \frac{x}{( 4 - x )}

f (x) = \frac{( 3 ^{\frac{1}{x}} )}{( 1 + 3 ^{\frac{1}{x}} )}