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Popular Functions >

f(x)=5x^2+1

Solution

f (x) = 5 x^{2} + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 1

Y Intercepts : (0, 1)

Vertex : Minimum (0, 1)

Inverse : \frac{x - 1}{5}, - \frac{x - 1}{5}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1, \infty)

Solution steps

Domain of

5 x^{2} + 1 : - \infty < x < \infty

Range of

5 x^{2} + 1 : f (x) \geq 1

Axis interception points of

5 x^{2} + 1 :

Y Intercepts

: (0, 1)

Vertex of

5 x^{2} + 1 :

Minimum

(0, 1)

Inverse of

5 x^{2} + 1 : \frac{x - 1}{5}, - \frac{x - 1}{5}

Graph

Popular Examples

inverse of f(x)=-3x-1

domain of f(x)=sqrt(x^2-7x+10)

line (-1,-5),(5,-3)

inverse of f(x)=sqrt(-x+5)

inverse of x^4+1

Frequently Asked Questions (FAQ)

What is the f(x)=5x^2+1 ?
The f(x)=5x^2+1 is