What is the f(x)=x-3+8x^2-4x+15 ?

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f(x)=x-3+8x^2-4x+15

f (x) = x - 3 + 8 x^{2} - 4 x + 15

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{375}{32}

Y Intercepts : (0, 12)

Vertex : Minimum (\frac{3}{16}, \frac{375}{32})

Inverse : \frac{3 + 32 x - 375}{16}, \frac{3 - 32 x - 375}{16}

Solution steps

Domain of

x - 3 + 8 x^{2} - 4 x + 15 : - \infty < x < \infty

Range of

x - 3 + 8 x^{2} - 4 x + 15 : f (x) \geq \frac{375}{32}

Axis interception points of

x - 3 + 8 x^{2} - 4 x + 15 :

Y Intercepts

: (0, 12)

Vertex of

x - 3 + 8 x^{2} - 4 x + 15 :

Minimum

(\frac{3}{16}, \frac{375}{32})

Inverse of

x - 3 + 8 x^{2} - 4 x + 15 : \frac{3 + 32 x - 375}{16}, \frac{3 - 32 x - 375}{16}

y = \frac{( 50 t ^{2} + 300 t + 1500 )}{( t ^{2} + 30 )}

f (y) = 6 y^{2} + 7 y - 48

f (x) = \frac{1}{6 \cdot ln ( ( x ^{2} - 2 2 x ^{2} - 2 ) ^{4} )}

f (n) = \frac{( 9 n ^{6} - 11 )}{8}

f (p) = 9 p^{2} - 15 p - 13