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91Ó°ÊÓ

Suppose that f(x)=2x.

(a) What is f(4)? What point is on the graph of f?

(b) If f(x)=116, what is x? What point is on the graph of f?

Short Answer

Expert verified

Part (a) f(4)=16and the point on the graph is (4,16).

Part (b)x=-4and the point on the graph is(-4,116).

Step by step solution

01

Part (a) Step 1. Substitute x=4 in f(x)=2x.

This gives

f(4)=24f(4)=16

So the point on the graph of the function f is(4,16).

02

Part (b) Step 1. Find value of x using f(x)=116.

f(x)=1162x=1162x=16-12x=(24)-12x=2-4

On comparing,

x=-4

So the point on the graph is(-4,116)

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