If f and g are real functions defined by f(x)=x²+7 then find the value of [f(t)-f(5)] / t-5 where t - Maths - Relations and Functions

Question

If f and g are real functions defined by f(x)=x²+7 then find
the value of [f(t)-f(5)] / t-5 where t not equal to 5

Neha Sethi · Accepted Answer

Dear student
We have,f(x)=x2+7Consider,ft-f5t-5=t2+7-52+7t-5=t2+7-25-7t-5=t2-25t-5=t-5t+5t-5=t+5
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If f and g are real functions defined by f(x)=x²+7 then find the value of [f(t)-f(5)] / t-5 where t not equal to 5