What’s the answer and how do I solve this ?
2 answers:
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Answer: a)
Step-by-step explanation:
Since we have given that
a.) Find the inverse of f(x) and name it g(x).
Let f(x) = y
So, it becomes
Switching x to y , we get
b) . Use composition to show that f(x) and g(x) are inverses of each other.
Similarly,
so, both are inverses of each other.
c) Draw the graphs of f(x) and g(x) on the same coordinate plane.
As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x
And both f(x) and g(x) are symmetry to y=x.
∴ f(x) and g(x) are inverses of each other.
Substitute the given value of y into the equation y=7x+15
Move the variable to the left-hand side and change its sign
Collect like terms
Divide both sides of the equation by -5
Substitute the given value of x into the equation y=2x
Solve the equation for y
The possible solution of the system is the ordered pair (x,y)