Functions and Mod Graphs HW Help Please!!
Hi, I'm really stuck on this question any help is appreciated!!
Q1:
The function f is defined by f(x)=x^2 -2x-9, x is a real number, x>=k.
a) find the minimum value of the constant k for which f-1(x) exists
Given that k takes the value found in part a,
b) solve the equation f-1(x)=4
c) sketch the curve y=|f(x)|
d) find the values of x for which |f(x)|=6
Q1:
The function f is defined by f(x)=x^2 -2x-9, x is a real number, x>=k.
a) find the minimum value of the constant k for which f-1(x) exists
Given that k takes the value found in part a,
b) solve the equation f-1(x)=4
c) sketch the curve y=|f(x)|
d) find the values of x for which |f(x)|=6
Original post by miam00
Hi, I'm really stuck on this question any help is appreciated!!
Q1:
The function f is defined by f(x)=x^2 -2x-9, x is a real number, x>=k.
a) find the minimum value of the constant k for which f-1(x) exists
Given that k takes the value found in part a,
b) solve the equation f-1(x)=4
c) sketch the curve y=|f(x)|
d) find the values of x for which |f(x)|=6
Q1:
The function f is defined by f(x)=x^2 -2x-9, x is a real number, x>=k.
a) find the minimum value of the constant k for which f-1(x) exists
Given that k takes the value found in part a,
b) solve the equation f-1(x)=4
c) sketch the curve y=|f(x)|
d) find the values of x for which |f(x)|=6
A sketch of the quadratic should help? Remember a function has to be increasing or decreasing for the inverse to exist, so it cant include turning points.
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